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48155904 = 28336967
BaseRepresentation
bin1011011110110…
…0110100000000
310100121120111000
42313230310000
544311442104
64440052000
71123214136
oct267546400
9110546430
1048155904
1125201275
1214164000
139c90c24
146577756
154363639
hex2decd00

48155904 has 72 divisors (see below), whose sum is σ = 142425920. Its totient is φ = 16049664.

The previous prime is 48155903. The next prime is 48155909. The reversal of 48155904 is 40955184.

48155904 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48155903) 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, 3429 + ... + 10395.

Almost surely, 248155904 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 48155904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71212960).

48155904 is an abundant number, since it is smaller than the sum of its proper divisors (94270016).

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

48155904 is an equidigital number, since it uses as much as digits as its factorization.

48155904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6992 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 48155904 is about 6939.4455109901. The cubic root of 48155904 is about 363.8171605187.

The spelling of 48155904 in words is "forty-eight million, one hundred fifty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 6967 13934 20901 27868 41802 55736 62703 83604 111472 125406 167208 188109 222944 250812 334416 376218 445888 501624 668832 752436 891776 1003248 1337664 1504872 1783552 2006496 2675328 3009744 4012992 5350656 6019488 8025984 12038976 16051968 24077952 48155904