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48928896 = 273242473
BaseRepresentation
bin1011101010100…
…1100010000000
310102001211211100
42322221202000
5100011211041
64504414400
71132613562
oct272514200
9112054740
1048928896
112568a005
1214477400
13a1a1a13
1466d9332
1544676b6
hex2ea9880

48928896 has 48 divisors (see below), whose sum is σ = 140801310. Its totient is φ = 16309248.

The previous prime is 48928871. The next prime is 48928897. The reversal of 48928896 is 69882984.

It can be written as a sum of positive squares in only one way, i.e., 46785600 + 2143296 = 6840^2 + 1464^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (48928897) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20085 + ... + 22388.

Almost surely, 248928896 is an apocalyptic number.

It is an amenable number.

48928896 is an abundant number, since it is smaller than the sum of its proper divisors (91872414).

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

48928896 is a wasteful number, since it uses less digits than its factorization.

48928896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42493 (or 42478 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 48928896 is about 6994.9192990341. The cubic root of 48928896 is about 365.7534844516.

The spelling of 48928896 in words is "forty-eight million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 42473 84946 127419 169892 254838 339784 382257 509676 679568 764514 1019352 1359136 1529028 2038704 2718272 3058056 4077408 5436544 6116112 8154816 12232224 16309632 24464448 48928896