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896601468 = 223729312383
BaseRepresentation
bin110101011100010…
…000110101111100
32022111010001222210
4311130100311330
53314012221333
6224545140420
731134662310
oct6534206574
92274101883
10896601468
11420120a54
1221032a710
131139a6819
1487113b40
1553aa9a63
hex35710d7c

896601468 has 144 divisors (see below), whose sum is σ = 2562416640. Its totient is φ = 238734720.

The previous prime is 896601467. The next prime is 896601473. The reversal of 896601468 is 864106698.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896601463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2340805 + ... + 2341187.

It is an arithmetic number, because the mean of its divisors is an integer number (17794560).

Almost surely, 2896601468 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 896601468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281208320).

896601468 is an abundant number, since it is smaller than the sum of its proper divisors (1665815172).

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

896601468 is a wasteful number, since it uses less digits than its factorization.

896601468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 896601468 is about 29943.3042264878. The cubic root of 896601468 is about 964.2725751939.

The spelling of 896601468 in words is "eight hundred ninety-six million, six hundred one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 58 62 84 87 93 116 124 174 186 203 217 348 372 383 406 434 609 651 766 812 868 899 961 1149 1218 1302 1532 1798 1922 2298 2436 2604 2681 2697 2883 3596 3844 4596 5362 5394 5766 6293 6727 8043 10724 10788 11107 11532 11873 12586 13454 16086 18879 20181 22214 23746 25172 26908 27869 32172 33321 35619 37758 40362 44428 47492 55738 66642 71238 75516 77749 80724 83111 83607 111476 133284 142476 155498 166222 167214 195083 233247 249333 310996 332444 334428 344317 368063 390166 466494 498666 585249 688634 736126 780332 932988 997332 1032951 1104189 1170498 1377268 1472252 2065902 2208378 2340996 2410219 2576441 4131804 4416756 4820438 5152882 7230657 7729323 9640876 10305764 10673827 14461314 15458646 21347654 28922628 30917292 32021481 42695308 64042962 74716789 128085924 149433578 224150367 298867156 448300734 896601468