Search a number
-
+
50272768 = 29713283
BaseRepresentation
bin1011111111000…
…1101000000000
310111121010021101
42333301220000
5100332212033
64553304144
71150211560
oct277615000
9114533241
1050272768
1126417747
1214a05054
13a552600
146968da0
15463097d
hex2ff1a00

50272768 has 120 divisors (see below), whose sum is σ = 125804448. Its totient is φ = 19648512.

The previous prime is 50272759. The next prime is 50272771. The reversal of 50272768 is 86727205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 605655 + ... + 605737.

Almost surely, 250272768 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 50272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62902224).

50272768 is an abundant number, since it is smaller than the sum of its proper divisors (75531680).

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

50272768 is an equidigital number, since it uses as much as digits as its factorization.

50272768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 50272768 is about 7090.3291884087. The cubic root of 50272768 is about 369.0718592533.

It can be divided in two parts, 50272 and 768, that added together give a triangular number (51040 = T319).

The spelling of 50272768 in words is "fifty million, two hundred seventy-two thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 83 91 104 112 128 166 169 182 208 224 256 332 338 364 416 448 512 581 664 676 728 832 896 1079 1162 1183 1328 1352 1456 1664 1792 2158 2324 2366 2656 2704 2912 3328 3584 4316 4648 4732 5312 5408 5824 6656 7553 8632 9296 9464 10624 10816 11648 14027 15106 17264 18592 18928 21248 21632 23296 28054 30212 34528 37184 37856 42496 43264 46592 56108 60424 69056 74368 75712 86528 98189 112216 120848 138112 148736 151424 196378 224432 241696 276224 297472 302848 392756 448864 483392 552448 605696 785512 897728 966784 1571024 1795456 1933568 3142048 3590912 3867136 6284096 7181824 12568192 25136384 50272768