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50642640 = 24325371901
BaseRepresentation
bin1100000100101…
…1111011010000
310112021220122100
43001023323100
5100431031030
65005240400
71153312116
oct301137320
9115256570
1050642640
112664a624
1214b63100
13a651a79
146a23ab6
1546a5360
hex304bed0

50642640 has 120 divisors (see below), whose sum is σ = 174763368. Its totient is φ = 13132800.

The previous prime is 50642639. The next prime is 50642653. The reversal of 50642640 is 4624605.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 46131264 = 2124^2 + 6792^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25690 + ... + 27590.

Almost surely, 250642640 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 50642640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381684).

50642640 is an abundant number, since it is smaller than the sum of its proper divisors (124120728).

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

50642640 is a wasteful number, since it uses less digits than its factorization.

50642640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 50642640 is about 7116.3642402564. The cubic root of 50642640 is about 369.9747730548.

The spelling of 50642640 in words is "fifty million, six hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 37 40 45 48 60 72 74 80 90 111 120 144 148 180 185 222 240 296 333 360 370 444 555 592 666 720 740 888 1110 1332 1480 1665 1776 1901 2220 2664 2960 3330 3802 4440 5328 5703 6660 7604 8880 9505 11406 13320 15208 17109 19010 22812 26640 28515 30416 34218 38020 45624 57030 68436 70337 76040 85545 91248 114060 136872 140674 152080 171090 211011 228120 273744 281348 342180 351685 422022 456240 562696 633033 684360 703370 844044 1055055 1125392 1266066 1368720 1406740 1688088 2110110 2532132 2813480 3165165 3376176 4220220 5064264 5626960 6330330 8440440 10128528 12660660 16880880 25321320 50642640