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50368680 = 23325181773
BaseRepresentation
bin1100000000100…
…1000010101000
310111202222211200
43000021002220
5100343244210
64555324200
71151061315
oct300110250
9114688750
1050368680
112648280a
1214a50660
13a58716b
146991d0c
15464e0c0
hex30090a8

50368680 has 96 divisors (see below), whose sum is σ = 164815560. Its totient is φ = 13340160.

The previous prime is 50368673. The next prime is 50368687. The reversal of 50368680 is 8686305.

It is an interprime number because it is at equal distance from previous prime (50368673) and next prime (50368687).

It can be written as a sum of positive squares in 4 ways, for example, as 11655396 + 38713284 = 3414^2 + 6222^2 .

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

It is not an unprimeable number, because it can be changed into a prime (50368687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64774 + ... + 65546.

Almost surely, 250368680 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 50368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82407780).

50368680 is an abundant number, since it is smaller than the sum of its proper divisors (114446880).

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

50368680 is a wasteful number, since it uses less digits than its factorization.

50368680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 50368680 is about 7097.0895443132. The cubic root of 50368680 is about 369.3064191949.

The spelling of 50368680 in words is "fifty million, three hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 773 905 1086 1448 1546 1629 1810 2172 2319 2715 3092 3258 3620 3865 4344 4638 5430 6184 6516 6957 7240 7730 8145 9276 10860 11595 13032 13914 15460 16290 18552 21720 23190 27828 30920 32580 34785 46380 55656 65160 69570 92760 139140 139913 278280 279826 419739 559652 699565 839478 1119304 1259217 1399130 1678956 2098695 2518434 2798260 3357912 4197390 5036868 5596520 6296085 8394780 10073736 12592170 16789560 25184340 50368680