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57129198 = 2372434519
BaseRepresentation
bin1101100111101…
…1100011101110
310222111110112020
43121323203232
5104111113243
65400251010
71262406300
oct331734356
9128443466
1057129198
112a280015
1217170a66
13bab3379
147831970
155037283
hex367b8ee

57129198 has 48 divisors (see below), whose sum is σ = 136033920. Its totient is φ = 15939504.

The previous prime is 57129179. The next prime is 57129203. The reversal of 57129198 is 89192175.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10383 + ... + 14901.

It is an arithmetic number, because the mean of its divisors is an integer number (2834040).

Almost surely, 257129198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57129198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68016960).

57129198 is an abundant number, since it is smaller than the sum of its proper divisors (78904722).

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

57129198 is a wasteful number, since it uses less digits than its factorization.

57129198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4581 (or 4574 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 57129198 is about 7558.3859388100. The cubic root of 57129198 is about 385.1406648534.

The spelling of 57129198 in words is "fifty-seven million, one hundred twenty-nine thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 4214 4519 6321 9038 12642 13557 27114 31633 63266 94899 189798 194317 221431 388634 442862 582951 664293 1165902 1328586 1360219 2720438 4080657 8161314 9521533 19043066 28564599 57129198