[go: up one dir, main page]

Search a number
-
+
50506632 = 23331129733
BaseRepresentation
bin1100000010101…
…0101110001000
310112001000002000
43000222232020
5100412203012
65002311000
71152204441
oct300525610
9115030060
1050506632
1126567420
1214ab8460
13a604ba7
1469ca2c8
154679ddc
hex302ab88

50506632 has 128 divisors (see below), whose sum is σ = 158544000. Its totient is φ = 14757120.

The previous prime is 50506613. The next prime is 50506669. The reversal of 50506632 is 23660505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 50506596 and 50506605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68538 + ... + 69270.

It is an arithmetic number, because the mean of its divisors is an integer number (1238625).

Almost surely, 250506632 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 50506632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79272000).

50506632 is an abundant number, since it is smaller than the sum of its proper divisors (108037368).

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

50506632 is a wasteful number, since it uses less digits than its factorization.

50506632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 50506632 is about 7106.8018123485. The cubic root of 50506632 is about 369.6432695167.

The spelling of 50506632 in words is "fifty million, five hundred six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 29 33 36 44 54 58 66 72 87 88 99 108 116 132 174 198 216 232 261 264 297 319 348 396 522 594 638 696 733 783 792 957 1044 1188 1276 1466 1566 1914 2088 2199 2376 2552 2871 2932 3132 3828 4398 5742 5864 6264 6597 7656 8063 8613 8796 11484 13194 16126 17226 17592 19791 21257 22968 24189 26388 32252 34452 39582 42514 48378 52776 63771 64504 68904 72567 79164 85028 96756 127542 145134 158328 170056 191313 193512 217701 233827 255084 290268 382626 435402 467654 510168 573939 580536 701481 765252 870804 935308 1147878 1402962 1530504 1741608 1870616 2104443 2295756 2805924 4208886 4591512 5611848 6313329 8417772 12626658 16835544 25253316 50506632