Search a number
-
+
50687364 = 223721319349
BaseRepresentation
bin1100000101011…
…0110110000100
310112101011222210
43001112312010
5100433443424
65010223420
71153556400
oct301266604
9115334883
1050687364
1126680192
1214b84b70
13a669230
146a36100
1546b3729
hex3056d84

50687364 has 144 divisors (see below), whose sum is σ = 156408000. Its totient is φ = 12628224.

The previous prime is 50687363. The next prime is 50687381. The reversal of 50687364 is 46378605.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (50687363) 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 47 ways as a sum of consecutive naturals, for example, 145062 + ... + 145410.

Almost surely, 250687364 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 50687364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78204000).

50687364 is an abundant number, since it is smaller than the sum of its proper divisors (105720636).

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

50687364 is a wasteful number, since it uses less digits than its factorization.

50687364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 50687364 is about 7119.5058817308. The cubic root of 50687364 is about 370.0836528655.

The spelling of 50687364 in words is "fifty million, six hundred eighty-seven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 49 52 57 76 78 84 91 98 114 133 147 156 182 196 228 247 266 273 294 349 364 399 494 532 546 588 637 698 741 798 931 988 1047 1092 1274 1396 1482 1596 1729 1862 1911 2094 2443 2548 2793 2964 3458 3724 3822 4188 4537 4886 5187 5586 6631 6916 7329 7644 9074 9772 10374 11172 12103 13262 13611 14658 17101 18148 19893 20748 24206 26524 27222 29316 31759 34202 36309 39786 46417 48412 51303 54444 63518 68404 72618 79572 86203 92834 95277 102606 127036 139251 145236 172406 185668 190554 205212 222313 258609 278502 324919 344812 381108 444626 517218 557004 603421 649838 666939 889252 974757 1034436 1206842 1299676 1333878 1810263 1949514 2413684 2667756 3620526 3899028 4223947 7241052 8447894 12671841 16895788 25343682 50687364