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50138640 = 2432583839
BaseRepresentation
bin1011111101000…
…0111000010000
310111100022021200
42333100320100
5100313414030
64550351200
71146112536
oct277207020
9114308250
1050138640
11263359a2
121495b500
13a506546
146932156
154605d60
hex2fd0e10

50138640 has 120 divisors (see below), whose sum is σ = 170614080. Its totient is φ = 13193472.

The previous prime is 50138633. The next prime is 50138653. The reversal of 50138640 is 4683105.

50138640 is a `hidden beast` number, since 5 + 0 + 13 + 8 + 640 = 666.

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

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, 59341 + ... + 60179.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 250138640 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 50138640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85307040).

50138640 is an abundant number, since it is smaller than the sum of its proper divisors (120475440).

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

50138640 is a wasteful number, since it uses less digits than its factorization.

50138640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 50138640 is about 7080.8643540178. The cubic root of 50138640 is about 368.7433383839.

The spelling of 50138640 in words is "fifty million, one hundred thirty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 83 90 120 144 166 180 240 249 332 360 415 498 664 720 747 830 839 996 1245 1328 1494 1660 1678 1992 2490 2517 2988 3320 3356 3735 3984 4195 4980 5034 5976 6640 6712 7470 7551 8390 9960 10068 11952 12585 13424 14940 15102 16780 19920 20136 25170 29880 30204 33560 37755 40272 50340 59760 60408 67120 69637 75510 100680 120816 139274 151020 201360 208911 278548 302040 348185 417822 557096 604080 626733 696370 835644 1044555 1114192 1253466 1392740 1671288 2089110 2506932 2785480 3133665 3342576 4178220 5013864 5570960 6267330 8356440 10027728 12534660 16712880 25069320 50138640