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57916416 = 2103171109
BaseRepresentation
bin1101110011101…
…1110000000000
311000222110101110
43130323300000
5104311311131
65425203320
71302165345
oct334736000
9130873343
1057916416
112a768508
1217490540
13bcca78c
1479987cc
155140646
hex373bc00

57916416 has 88 divisors (see below), whose sum is σ = 163596240. Its totient is φ = 18153472.

The previous prime is 57916409. The next prime is 57916429. The reversal of 57916416 is 61461975.

It is a super-2 number, since 2×579164162 = 6708622484570112, which contains 22 as substring.

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, 51670 + ... + 52778.

Almost surely, 257916416 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 57916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81798120).

57916416 is an abundant number, since it is smaller than the sum of its proper divisors (105679824).

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

57916416 is a wasteful number, since it uses less digits than its factorization.

57916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1131 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 57916416 is about 7610.2835689611. The cubic root of 57916416 is about 386.9016302136.

The spelling of 57916416 in words is "fifty-seven million, nine hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1109 1536 1632 2176 2218 3072 3264 3327 4352 4436 6528 6654 8704 8872 13056 13308 17408 17744 18853 26112 26616 35488 37706 52224 53232 56559 70976 75412 106464 113118 141952 150824 212928 226236 283904 301648 425856 452472 567808 603296 851712 904944 1135616 1206592 1703424 1809888 2413184 3406848 3619776 4826368 7239552 9652736 14479104 19305472 28958208 57916416