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5629390032 = 2437471931847
BaseRepresentation
bin1010011111000100…
…11010110011010000
3112112022200122101010
411033202122303100
543012110440112
62330333210520
7256334011560
oct51742326320
915468618333
105629390032
11242970a062
121111330a40
136b9377926
143b58d8da0
1522e32c63c
hex14f89acd0

5629390032 has 160 divisors (see below), whose sum is σ = 17070907392. Its totient is φ = 1565171712.

The previous prime is 5629390031. The next prime is 5629390073. The reversal of 5629390032 is 2300939265.

It is a super-2 number, since 2×56293900322 = 63380064264761922048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5629390031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3046933 + ... + 3048779.

Almost surely, 25629390032 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 5629390032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535453696).

5629390032 is an abundant number, since it is smaller than the sum of its proper divisors (11441517360).

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

5629390032 is a wasteful number, since it uses less digits than its factorization.

5629390032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 5629390032 is about 75029.2611718921. The cubic root of 5629390032 is about 1778.9091949110.

The spelling of 5629390032 in words is "five billion, six hundred twenty-nine million, three hundred ninety thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 193 282 329 336 376 386 564 579 658 752 772 987 1128 1158 1316 1351 1544 1847 1974 2256 2316 2632 2702 3088 3694 3948 4053 4632 5264 5404 5541 7388 7896 8106 9071 9264 10808 11082 12929 14776 15792 16212 18142 21616 22164 25858 27213 29552 32424 36284 38787 44328 51716 54426 63497 64848 72568 77574 86809 88656 103432 108852 126994 145136 155148 173618 190491 206864 217704 253988 260427 310296 347236 356471 380982 435408 507976 520854 607663 620592 694472 712942 761964 1015952 1041708 1069413 1215326 1388944 1425884 1523928 1822989 2083416 2138826 2430652 2495297 2851768 3047856 3645978 4166832 4277652 4861304 4990594 5703536 7291956 7485891 8555304 9722608 9981188 14583912 14971782 16754137 17110608 19962376 29167824 29943564 33508274 39924752 50262411 59887128 67016548 100524822 117278959 119774256 134033096 201049644 234557918 268066192 351836877 402099288 469115836 703673754 804198576 938231672 1407347508 1876463344 2814695016 5629390032