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47902368 = 2531273929
BaseRepresentation
bin1011011010111…
…0111010100000
310100010200200210
42312232322200
544230333433
64430414120
71121110023
oct266567240
9110120623
1047902368
1125048838
1214061340
139c026c7
14650d1ba
154313463
hex2daeea0

47902368 has 48 divisors (see below), whose sum is σ = 126766080. Its totient is φ = 15837696.

The previous prime is 47902367. The next prime is 47902373. The reversal of 47902368 is 86320974.

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

It is not an unprimeable number, because it can be changed into a prime (47902367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10228 + ... + 14156.

It is an arithmetic number, because the mean of its divisors is an integer number (2640960).

Almost surely, 247902368 is an apocalyptic number.

47902368 is a gapful number since it is divisible by the number (48) 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 47902368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63383040).

47902368 is an abundant number, since it is smaller than the sum of its proper divisors (78863712).

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

47902368 is a wasteful number, since it uses less digits than its factorization.

47902368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 47902368 is about 6921.1536610597. The cubic root of 47902368 is about 363.1775497648.

The spelling of 47902368 in words is "forty-seven million, nine hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 3929 4064 6096 7858 11787 12192 15716 23574 31432 47148 62864 94296 125728 188592 377184 498983 997966 1496949 1995932 2993898 3991864 5987796 7983728 11975592 15967456 23951184 47902368