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57503034 = 235179661
BaseRepresentation
bin1101101101011…
…0110100111010
311000012110100000
43123112310322
5104210044114
65412253430
71265524221
oct333266472
9130173300
1057503034
112a505976
1217311276
13bbb4584
1478cbcb8
1550ace09
hex36d6d3a

57503034 has 48 divisors (see below), whose sum is σ = 130122720. Its totient is φ = 19031760.

The previous prime is 57503029. The next prime is 57503051. The reversal of 57503034 is 43030575.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 57502989 and 57503007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86664 + ... + 87324.

It is an arithmetic number, because the mean of its divisors is an integer number (2710890).

Almost surely, 257503034 is an apocalyptic number.

57503034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57503034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65061360).

57503034 is an abundant number, since it is smaller than the sum of its proper divisors (72619686).

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

57503034 is a wasteful number, since it uses less digits than its factorization.

57503034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

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

The square root of 57503034 is about 7583.0754974482. The cubic root of 57503034 is about 385.9789199832.

The spelling of 57503034 in words is "fifty-seven million, five hundred three thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 179 243 358 486 537 661 1074 1322 1611 1983 3222 3966 4833 5949 9666 11898 14499 17847 28998 35694 43497 53541 86994 107082 118319 160623 236638 321246 354957 709914 1064871 2129742 3194613 6389226 9583839 19167678 28751517 57503034