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57152970 = 23257831093
BaseRepresentation
bin1101101000000…
…1010111001010
310222112200010200
43122001113022
5104112343340
65400553030
71262535510
oct332012712
9128480120
1057152970
112a296966
1217182776
13bac1134
14783a4b0
15503e330
hex36815ca

57152970 has 96 divisors (see below), whose sum is σ = 172029312. Its totient is φ = 12894336.

The previous prime is 57152959. The next prime is 57152981. The reversal of 57152970 is 7925175.

It is an interprime number because it is at equal distance from previous prime (57152959) and next prime (57152981).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51744 + ... + 52836.

It is an arithmetic number, because the mean of its divisors is an integer number (1791972).

Almost surely, 257152970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57152970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86014656).

57152970 is an abundant number, since it is smaller than the sum of its proper divisors (114876342).

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

57152970 is a wasteful number, since it uses less digits than its factorization.

57152970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 57152970 is about 7559.9583332185. The cubic root of 57152970 is about 385.1940776709.

The spelling of 57152970 in words is "fifty-seven million, one hundred fifty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 83 90 105 126 166 210 249 315 415 498 581 630 747 830 1093 1162 1245 1494 1743 2186 2490 2905 3279 3486 3735 5229 5465 5810 6558 7470 7651 8715 9837 10458 10930 15302 16395 17430 19674 22953 26145 32790 38255 45906 49185 52290 68859 76510 90719 98370 114765 137718 181438 229530 272157 344295 453595 544314 635033 688590 816471 907190 1270066 1360785 1632942 1905099 2721570 3175165 3810198 4082355 5715297 6350330 8164710 9525495 11430594 19050990 28576485 57152970