Search a number
-
+
57796608 = 211323409
BaseRepresentation
bin1101110001111…
…0100000000000
311000202101001010
43130132200000
5104243442413
65422440520
71301156142
oct334364000
9130671033
1057796608
112a6964a1
1217433140
13bc8809c
147966c92
155119dc3
hex371e800

57796608 has 96 divisors (see below), whose sum is σ = 161179200. Its totient is φ = 18382848.

The previous prime is 57796603. The next prime is 57796633. The reversal of 57796608 is 80669775.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57796603) 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, 141108 + ... + 141516.

It is an arithmetic number, because the mean of its divisors is an integer number (1678950).

Almost surely, 257796608 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 57796608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80589600).

57796608 is an abundant number, since it is smaller than the sum of its proper divisors (103382592).

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

57796608 is a wasteful number, since it uses less digits than its factorization.

57796608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 57796608 is about 7602.4080395622. The cubic root of 57796608 is about 386.6346597896.

The spelling of 57796608 in words is "fifty-seven million, seven hundred ninety-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 409 512 552 736 768 818 1024 1104 1227 1472 1536 1636 2048 2208 2454 2944 3072 3272 4416 4908 5888 6144 6544 8832 9407 9816 11776 13088 17664 18814 19632 23552 26176 28221 35328 37628 39264 47104 52352 56442 70656 75256 78528 104704 112884 141312 150512 157056 209408 225768 301024 314112 418816 451536 602048 628224 837632 903072 1204096 1256448 1806144 2408192 2512896 3612288 4816384 7224576 9632768 14449152 19265536 28898304 57796608