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50626368 = 2632136761
BaseRepresentation
bin1100000100011…
…1111101000000
310112021002022200
43001013331000
5100430020433
65005033200
71153213512
oct301077500
9115232280
1050626368
1126639381
1214b55800
13a647540
146a1bbb2
1546a0613
hex3047f40

50626368 has 84 divisors (see below), whose sum is σ = 156296868. Its totient is φ = 15575040.

The previous prime is 50626363. The next prime is 50626369. The reversal of 50626368 is 86362605.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 27123264 = 4848^2 + 5208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50626363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4108 + ... + 10868.

It is an arithmetic number, because the mean of its divisors is an integer number (1860677).

Almost surely, 250626368 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 50626368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78148434).

50626368 is an abundant number, since it is smaller than the sum of its proper divisors (105670500).

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

50626368 is a wasteful number, since it uses less digits than its factorization.

50626368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792 (or 6779 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 50626368 is about 7115.2208679703. The cubic root of 50626368 is about 369.9351432461.

The spelling of 50626368 in words is "fifty million, six hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 6761 7488 13522 20283 27044 40566 54088 60849 81132 87893 108176 121698 162264 175786 216352 243396 263679 324528 351572 432704 486792 527358 649056 703144 791037 973584 1054716 1298112 1406288 1582074 1947168 2109432 2812576 3164148 3894336 4218864 5625152 6328296 8437728 12656592 16875456 25313184 50626368