Search a number
-
+
57033504 = 25331117353
BaseRepresentation
bin1101100110010…
…0001100100000
310222022121021000
43121210030200
5104100033004
65354232000
71261530303
oct331441440
9128277230
1057033504
112a215130
1217125600
13ba7b948
147808b3a
155018c39
hex3664320

57033504 has 192 divisors, whose sum is σ = 192689280. Its totient is φ = 16220160.

The previous prime is 57033499. The next prime is 57033527. The reversal of 57033504 is 40533075.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161392 + ... + 161744.

It is an arithmetic number, because the mean of its divisors is an integer number (1003590).

Almost surely, 257033504 is an apocalyptic number.

57033504 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 57033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96344640).

57033504 is an abundant number, since it is smaller than the sum of its proper divisors (135655776).

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

57033504 is a wasteful number, since it uses less digits than its factorization.

57033504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 57033504 is about 7552.0529659160. The cubic root of 57033504 is about 384.9255019738.

Adding to 57033504 its reverse (40533075), we get a palindrome (97566579).

The spelling of 57033504 in words is "fifty-seven million, thirty-three thousand, five hundred four".