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49264992 = 2532723491
BaseRepresentation
bin1011101111101…
…1100101100000
310102200220212100
42323323211200
5100102434432
64515530400
71135513500
oct273734540
9112626770
1049264992
1125899577
12145b9a00
13a28b9aa
146785a00
1544d207c
hex2efb960

49264992 has 108 divisors (see below), whose sum is σ = 163017036. Its totient is φ = 14071680.

The previous prime is 49264981. The next prime is 49264993. The reversal of 49264992 is 29946294.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49264993) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12367 + ... + 15857.

It is an arithmetic number, because the mean of its divisors is an integer number (1509417).

Almost surely, 249264992 is an apocalyptic number.

49264992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49264992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81508518).

49264992 is an abundant number, since it is smaller than the sum of its proper divisors (113752044).

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

49264992 is a wasteful number, since it uses less digits than its factorization.

49264992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3503 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 49264992 is about 7018.9024783081. The cubic root of 49264992 is about 366.5890362742.

The spelling of 49264992 in words is "forty-nine million, two hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1568 1764 2016 2352 3491 3528 4704 6982 7056 10473 13964 14112 20946 24437 27928 31419 41892 48874 55856 62838 73311 83784 97748 111712 125676 146622 167568 171059 195496 219933 251352 293244 335136 342118 390992 439866 502704 513177 586488 684236 781984 879732 1005408 1026354 1172976 1368472 1539531 1759464 2052708 2345952 2736944 3079062 3518928 4105416 5473888 6158124 7037856 8210832 12316248 16421664 24632496 49264992