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48570368 = 21372112
BaseRepresentation
bin1011100101001…
…0000000000000
310101101122000112
42321102000000
544413222433
64453010452
71126561400
oct271220000
9111348015
1048570368
1125464700
1214323a28
13a0a7782
146644800
1543e6348
hex2e52000

48570368 has 126 divisors (see below), whose sum is σ = 124199523. Its totient is φ = 18923520.

The previous prime is 48570367. The next prime is 48570373. The reversal of 48570368 is 86307584.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 24285184 + 24285184 = 4928^2 + 4928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4928.

It is not an unprimeable number, because it can be changed into a prime (48570367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4415483 + ... + 4415493.

Almost surely, 248570368 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 48570368

48570368 is an abundant number, since it is smaller than the sum of its proper divisors (75629155).

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

48570368 is an equidigital number, since it uses as much as digits as its factorization.

48570368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 48570368 is about 6969.2444353746. The cubic root of 48570368 is about 364.8579368328.

The spelling of 48570368 in words is "forty-eight million, five hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 121 128 154 176 196 224 242 256 308 352 392 448 484 512 539 616 704 784 847 896 968 1024 1078 1232 1408 1568 1694 1792 1936 2048 2156 2464 2816 3136 3388 3584 3872 4096 4312 4928 5632 5929 6272 6776 7168 7744 8192 8624 9856 11264 11858 12544 13552 14336 15488 17248 19712 22528 23716 25088 27104 28672 30976 34496 39424 45056 47432 50176 54208 57344 61952 68992 78848 90112 94864 100352 108416 123904 137984 157696 189728 200704 216832 247808 275968 315392 379456 401408 433664 495616 551936 630784 758912 867328 991232 1103872 1517824 1734656 2207744 3035648 3469312 4415488 6071296 6938624 12142592 24285184 48570368