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50952672 = 2533173469
BaseRepresentation
bin1100001001011…
…1100111100000
310112212122221000
43002113213200
5101020441142
65020032000
71156043031
oct302274740
9115778830
1050952672
1126841551
1215092600
13a72cc14
146aa4a88
15471714c
hex30979e0

50952672 has 96 divisors (see below), whose sum is σ = 157399200. Its totient is φ = 15980544.

The previous prime is 50952637. The next prime is 50952683. The reversal of 50952672 is 27625905.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12954 + ... + 16422.

It is an arithmetic number, because the mean of its divisors is an integer number (1639575).

Almost surely, 250952672 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 50952672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78699600).

50952672 is an abundant number, since it is smaller than the sum of its proper divisors (106446528).

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

50952672 is a wasteful number, since it uses less digits than its factorization.

50952672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3505 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 50952672 is about 7138.1140366346. The cubic root of 50952672 is about 370.7282273292.

The spelling of 50952672 in words is "fifty million, nine hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3469 3672 4896 6938 7344 10407 13876 14688 20814 27752 31221 41628 55504 58973 62442 83256 93663 111008 117946 124884 166512 176919 187326 235892 249768 333024 353838 374652 471784 499536 530757 707676 749304 943568 999072 1061514 1415352 1498608 1592271 1887136 2123028 2830704 2997216 3184542 4246056 5661408 6369084 8492112 12738168 16984224 25476336 50952672