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57796416 = 263411149
BaseRepresentation
bin1101110001111…
…0011101000000
311000202100210000
43130132131000
5104243441131
65422440000
71301155446
oct334363500
9130670700
1057796416
112a696337
1217433000
13bc87c82
147966b96
155119ce6
hex371e740

57796416 has 70 divisors (see below), whose sum is σ = 171342050. Its totient is φ = 19263744.

The previous prime is 57796399. The next prime is 57796421. The reversal of 57796416 is 61469775.

It is a happy number.

57796416 is a `hidden beast` number, since 577 + 9 + 64 + 16 = 666.

57796416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 44836416 + 12960000 = 6696^2 + 3600^2 .

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 391 + ... + 10758.

Almost surely, 257796416 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 57796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85671025).

57796416 is an abundant number, since it is smaller than the sum of its proper divisors (113545634).

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

57796416 is a wasteful number, since it uses less digits than its factorization.

57796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173 (or 11154 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 57796416 is about 7602.3954119738. The cubic root of 57796416 is about 386.6342316564.

The spelling of 57796416 in words is "fifty-seven million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 11149 22298 33447 44596 66894 89192 100341 133788 178384 200682 267576 301023 356768 401364 535152 602046 713536 802728 903069 1070304 1204092 1605456 1806138 2140608 2408184 3210912 3612276 4816368 6421824 7224552 9632736 14449104 19265472 28898208 57796416