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896642352 = 243359127277
BaseRepresentation
bin110101011100011…
…010110100110000
32022111012011002000
4311130122310300
53314020023402
6224550054000
731135222434
oct6534326460
92274164060
10896642352
11420149741
1221034a300
131139bc308
14871249c4
1553ab6c1c
hex3571ad30

896642352 has 160 divisors (see below), whose sum is σ = 2647449600. Its totient is φ = 290449152.

The previous prime is 896642323. The next prime is 896642353. The reversal of 896642352 is 253246698.

896642352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (622080) is a multiple of the sum of its prime factors (480).

It is a junction number, because it is equal to n+sod(n) for n = 896642298 and 896642307.

It is not an unprimeable number, because it can be changed into a prime (896642353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3236838 + ... + 3237114.

It is an arithmetic number, because the mean of its divisors is an integer number (16546560).

Almost surely, 2896642352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896642352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323724800).

896642352 is an abundant number, since it is smaller than the sum of its proper divisors (1750807248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

896642352 is a wasteful number, since it uses less digits than its factorization.

896642352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 896642352 is about 29943.9869088937. The cubic root of 896642352 is about 964.2872315461.

The spelling of 896642352 in words is "eight hundred ninety-six million, six hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 127 144 177 216 236 254 277 354 381 432 472 508 531 554 708 762 831 944 1016 1062 1108 1143 1416 1524 1593 1662 2032 2124 2216 2286 2493 2832 3048 3186 3324 3429 4248 4432 4572 4986 6096 6372 6648 6858 7479 7493 8496 9144 9972 12744 13296 13716 14958 14986 16343 18288 19944 22479 25488 27432 29916 29972 32686 35179 39888 44958 49029 54864 59832 59944 65372 67437 70358 89916 98058 105537 119664 119888 130744 134874 140716 147087 179832 196116 202311 211074 261488 269748 281432 294174 316611 359664 392232 404622 422148 441261 539496 562864 588348 633222 784464 809244 844296 882522 949833 1078992 1176696 1266444 1618488 1688592 1765044 1899666 2075561 2353392 2532888 3236976 3530088 3799332 4151122 5065776 6226683 7060176 7598664 8302244 12453366 15197328 16604488 18680049 24906732 33208976 37360098 49813464 56040147 74720196 99626928 112080294 149440392 224160588 298880784 448321176 896642352