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57352104 = 2333793361
BaseRepresentation
bin1101101011000…
…1111110101000
310222220210022000
43122301332220
5104140231404
65405131000
71264325205
oct332617650
9128823260
1057352104
112a412537
1217259a60
13bb60974
14788ccac
15507d339
hex36b1fa8

57352104 has 64 divisors (see below), whose sum is σ = 161376000. Its totient is φ = 18869760.

The previous prime is 57352093. The next prime is 57352157. The reversal of 57352104 is 40125375.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15384 + ... + 18744.

It is an arithmetic number, because the mean of its divisors is an integer number (2521500).

Almost surely, 257352104 is an apocalyptic number.

57352104 is a gapful number since it is divisible by the number (54) 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 57352104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80688000).

57352104 is an abundant number, since it is smaller than the sum of its proper divisors (104023896).

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

57352104 is a wasteful number, since it uses less digits than its factorization.

57352104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57352104 is about 7573.1171917514. The cubic root of 57352104 is about 385.6409271424.

Adding to 57352104 its reverse (40125375), we get a palindrome (97477479).

The spelling of 57352104 in words is "fifty-seven million, three hundred fifty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 108 158 216 237 316 474 632 711 948 1422 1896 2133 2844 3361 4266 5688 6722 8532 10083 13444 17064 20166 26888 30249 40332 60498 80664 90747 120996 181494 241992 265519 362988 531038 725976 796557 1062076 1593114 2124152 2389671 3186228 4779342 6372456 7169013 9558684 14338026 19117368 28676052 57352104