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50687952 = 2437223937
BaseRepresentation
bin1100000101011…
…0111111010000
310112101012210120
43001112333100
5100434003302
65010230240
71153561200
oct301267720
9115335716
1050687952
1126680677
1214b85380
13a669593
146a36400
1546b39bc
hex3056fd0

50687952 has 120 divisors (see below), whose sum is σ = 159114816. Its totient is φ = 13837824.

The previous prime is 50687941. The next prime is 50687977. The reversal of 50687952 is 25978605.

50687952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53628 + ... + 54564.

Almost surely, 250687952 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 50687952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79557408).

50687952 is an abundant number, since it is smaller than the sum of its proper divisors (108426864).

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

50687952 is a wasteful number, since it uses less digits than its factorization.

50687952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 50687952 is about 7119.5471766117. The cubic root of 50687952 is about 370.0850839148.

The spelling of 50687952 in words is "fifty million, six hundred eighty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 49 56 69 84 92 98 112 138 147 161 168 184 196 276 294 322 336 368 392 483 552 588 644 784 937 966 1104 1127 1176 1288 1874 1932 2254 2352 2576 2811 3381 3748 3864 4508 5622 6559 6762 7496 7728 9016 11244 13118 13524 14992 18032 19677 21551 22488 26236 27048 39354 43102 44976 45913 52472 54096 64653 78708 86204 91826 104944 129306 137739 150857 157416 172408 183652 258612 275478 301714 314832 344816 367304 452571 517224 550956 603428 734608 905142 1034448 1055999 1101912 1206856 1810284 2111998 2203824 2413712 3167997 3620568 4223996 6335994 7241136 8447992 12671988 16895984 25343976 50687952