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57069312 = 283193911
BaseRepresentation
bin1101100110110…
…0111100000000
310222101102101020
43121230330000
5104102204222
65355105440
71262036556
oct331547400
9128342336
1057069312
112a23a023
1217142280
13ba92031
147817bd6
15502465c
hex366cf00

57069312 has 72 divisors (see below), whose sum is σ = 159922560. Its totient is φ = 18017280.

The previous prime is 57069307. The next prime is 57069329. The reversal of 57069312 is 21396075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12637 + ... + 16547.

Almost surely, 257069312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79961280).

57069312 is an abundant number, since it is smaller than the sum of its proper divisors (102853248).

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

57069312 is a wasteful number, since it uses less digits than its factorization.

57069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 57069312 is about 7554.4233400042. The cubic root of 57069312 is about 385.0060425206.

It can be divided in two parts, 57069 and 312, that multiplied together give a triangular number (17805528 = T5967).

The spelling of 57069312 in words is "fifty-seven million, sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1216 1824 2432 3648 3911 4864 7296 7822 11733 14592 15644 23466 31288 46932 62576 74309 93864 125152 148618 187728 222927 250304 297236 375456 445854 500608 594472 750912 891708 1001216 1188944 1501824 1783416 2377888 3003648 3566832 4755776 7133664 9511552 14267328 19023104 28534656 57069312