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50072640 = 2635431213
BaseRepresentation
bin1011111100000…
…0110001000000
310111012221202020
42333000301000
5100304311030
64545121440
71145416242
oct277006100
9114187666
1050072640
11262a0352
1214929280
13a4b24a7
146916092
1545e1510
hex2fc0c40

50072640 has 112 divisors (see below), whose sum is σ = 162811968. Its totient is φ = 13031424.

The previous prime is 50072623. The next prime is 50072653. The reversal of 50072640 is 4627005.

It is a happy number.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 50072640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40674 + ... + 41886.

Almost surely, 250072640 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 50072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81405984).

50072640 is an abundant number, since it is smaller than the sum of its proper divisors (112739328).

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

50072640 is a wasteful number, since it uses less digits than its factorization.

50072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 50072640 is about 7076.2023713288. The cubic root of 50072640 is about 368.5814689033.

Adding to 50072640 its reverse (4627005), we get a palindrome (54699645).

The spelling of 50072640 in words is "fifty million, seventy-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 160 172 192 215 240 258 320 344 430 480 516 645 688 860 960 1032 1213 1290 1376 1720 2064 2426 2580 2752 3440 3639 4128 4852 5160 6065 6880 7278 8256 9704 10320 12130 13760 14556 18195 19408 20640 24260 29112 36390 38816 41280 48520 52159 58224 72780 77632 97040 104318 116448 145560 156477 194080 208636 232896 260795 291120 312954 388160 417272 521590 582240 625908 782385 834544 1043180 1164480 1251816 1564770 1669088 2086360 2503632 3129540 3338176 4172720 5007264 6259080 8345440 10014528 12518160 16690880 25036320 50072640