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50139264 = 273723811
BaseRepresentation
bin1011111101000…
…1000010000000
310111100100010210
42333101002000
5100313424024
64550354120
71146114420
oct277210200
9114310123
1050139264
112633640a
121495b940
13a506906
146932480
154606129
hex2fd1080

50139264 has 128 divisors (see below), whose sum is σ = 159022080. Its totient is φ = 13685760.

The previous prime is 50139263. The next prime is 50139281. The reversal of 50139264 is 46293105.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50139263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61419 + ... + 62229.

It is an arithmetic number, because the mean of its divisors is an integer number (1242360).

Almost surely, 250139264 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 50139264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79511040).

50139264 is an abundant number, since it is smaller than the sum of its proper divisors (108882816).

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

50139264 is a wasteful number, since it uses less digits than its factorization.

50139264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 50139264 is about 7080.9084162980. The cubic root of 50139264 is about 368.7448681082.

It can be divided in two parts, 50139 and 264, that added together give a triangular number (50403 = T317).

The spelling of 50139264 in words is "fifty million, one hundred thirty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 811 896 966 1104 1288 1344 1472 1622 1932 2208 2433 2576 2688 2944 3244 3864 4416 4866 5152 5677 6488 7728 8832 9732 10304 11354 12976 15456 17031 18653 19464 20608 22708 25952 30912 34062 37306 38928 45416 51904 55959 61824 68124 74612 77856 90832 103808 111918 130571 136248 149224 155712 181664 223836 261142 272496 298448 311424 363328 391713 447672 522284 544992 596896 726656 783426 895344 1044568 1089984 1193792 1566852 1790688 2089136 2179968 2387584 3133704 3581376 4178272 6267408 7162752 8356544 12534816 16713088 25069632 50139264