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48632696 = 2372971279
BaseRepresentation
bin1011100110000…
…1001101111000
310101111210111222
42321201031320
544422221241
64454211212
71130241200
oct271411570
9111453458
1048632696
11254a7512
1214353b08
13a0c9c58
14665d400
154409a4b
hex2e61378

48632696 has 48 divisors (see below), whose sum is σ = 107251200. Its totient is φ = 20611584.

The previous prime is 48632693. The next prime is 48632711. The reversal of 48632696 is 69623684.

48632696 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 (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48632693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37385 + ... + 38663.

It is an arithmetic number, because the mean of its divisors is an integer number (2234400).

Almost surely, 248632696 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 48632696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625600).

48632696 is an abundant number, since it is smaller than the sum of its proper divisors (58618504).

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

48632696 is a wasteful number, since it uses less digits than its factorization.

48632696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396 (or 1385 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 48632696 is about 6973.7146485930. The cubic root of 48632696 is about 365.0139382930.

The spelling of 48632696 in words is "forty-eight million, six hundred thirty-two thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 49 56 97 98 194 196 388 392 679 776 1279 1358 2558 2716 4753 5116 5432 8953 9506 10232 17906 19012 35812 38024 62671 71624 124063 125342 248126 250684 496252 501368 868441 992504 1736882 3473764 6079087 6947528 12158174 24316348 48632696