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57213100 = 2252737472
BaseRepresentation
bin1101101001000…
…0000010101100
310222122201121201
43122100002230
5104121304400
65402135244
71263206020
oct332200254
9128581551
1057213100
112a32805a
12171b1524
13bb12609
147854380
15505206a
hex36900ac

57213100 has 108 divisors (see below), whose sum is σ = 148889776. Its totient is φ = 18679680.

The previous prime is 57213089. The next prime is 57213133. The reversal of 57213100 is 131275.

It is a super-2 number, since 2×572131002 = 6546677623220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1217277 + ... + 1217323.

Almost surely, 257213100 is an apocalyptic number.

57213100 is a gapful number since it is divisible by the number (50) 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 57213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74444888).

57213100 is an abundant number, since it is smaller than the sum of its proper divisors (91676676).

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

57213100 is a wasteful number, since it uses less digits than its factorization.

57213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 57213100 is about 7563.9341615326. The cubic root of 57213100 is about 385.3291164502.

Adding to 57213100 its reverse (131275), we get a palindrome (57344375).

The spelling of 57213100 in words is "fifty-seven million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 47 50 70 74 94 100 140 148 175 185 188 235 259 329 350 370 470 518 658 700 740 925 940 1036 1175 1295 1316 1645 1739 1850 2209 2350 2590 3290 3478 3700 4418 4700 5180 6475 6580 6956 8225 8695 8836 11045 12173 12950 15463 16450 17390 22090 24346 25900 30926 32900 34780 43475 44180 48692 55225 60865 61852 77315 81733 86950 110450 121730 154630 163466 173900 220900 243460 304325 309260 326932 386575 408665 572131 608650 773150 817330 1144262 1217300 1546300 1634660 2043325 2288524 2860655 4086650 5721310 8173300 11442620 14303275 28606550 57213100