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537306880 = 28511311231
BaseRepresentation
bin100000000001101…
…010011100000000
31101110001000110211
4200001222130000
52100022310010
6125152203504
716213014235
oct4001523400
91343030424
10537306880
11256328680
1212bb39594
1387417b86
145150778c
153228708a
hex2006a700

537306880 has 144 divisors (see below), whose sum is σ = 1450487808. Its totient is φ = 188928000.

The previous prime is 537306877. The next prime is 537306881. The reversal of 537306880 is 88603735.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537306881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435865 + ... + 437095.

It is an arithmetic number, because the mean of its divisors is an integer number (10072832).

Almost surely, 2537306880 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 537306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725243904).

537306880 is an abundant number, since it is smaller than the sum of its proper divisors (913180928).

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

537306880 is a wasteful number, since it uses less digits than its factorization.

537306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1294 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 537306880 is about 23179.8809315320. The cubic root of 537306880 is about 812.9692777815.

The spelling of 537306880 in words is "five hundred thirty-seven million, three hundred six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 620 640 682 704 880 992 1231 1240 1280 1364 1408 1705 1760 1984 2462 2480 2728 2816 3410 3520 3968 4924 4960 5456 6155 6820 7040 7936 9848 9920 10912 12310 13541 13640 14080 19696 19840 21824 24620 27082 27280 38161 39392 39680 43648 49240 54164 54560 67705 76322 78784 87296 98480 108328 109120 135410 152644 157568 190805 196960 216656 218240 270820 305288 315136 381610 393920 419771 433312 436480 541640 610576 763220 787840 839542 866624 1083280 1221152 1526440 1575680 1679084 1733248 2098855 2166560 2442304 3052880 3358168 3466496 4197710 4333120 4884608 6105760 6716336 8395420 8666240 9769216 12211520 13432672 16790840 17332480 24423040 26865344 33581680 48846080 53730688 67163360 107461376 134326720 268653440 537306880