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50769072 = 24331731223
BaseRepresentation
bin1100000110101…
…0110010110000
310112112100002000
43001222302300
5100444102242
65012054000
71154346534
oct301526260
9115470060
1050769072
1126726612
1215004300
13a697493
146a57bc4
1546cca4c
hex306acb0

50769072 has 160 divisors (see below), whose sum is σ = 159989760. Its totient is φ = 15344640.

The previous prime is 50769031. The next prime is 50769077. The reversal of 50769072 is 27096705.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (50769077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227553 + ... + 227775.

It is an arithmetic number, because the mean of its divisors is an integer number (999936).

Almost surely, 250769072 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 50769072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79994880).

50769072 is an abundant number, since it is smaller than the sum of its proper divisors (109220688).

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

50769072 is a wasteful number, since it uses less digits than its factorization.

50769072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 50769072 is about 7125.2418906308. The cubic root of 50769072 is about 370.2824043159.

The spelling of 50769072 in words is "fifty million, seven hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 186 204 216 223 248 272 279 306 372 408 432 446 459 496 527 558 612 669 744 816 837 892 918 1054 1116 1224 1338 1488 1581 1674 1784 1836 2007 2108 2232 2448 2676 3162 3348 3568 3672 3791 4014 4216 4464 4743 5352 6021 6324 6696 6913 7344 7582 8028 8432 9486 10704 11373 12042 12648 13392 13826 14229 15164 16056 18972 20739 22746 24084 25296 27652 28458 30328 32112 34119 37944 41478 45492 48168 55304 56916 60656 62217 68238 75888 82956 90984 96336 102357 110608 113832 117521 124434 136476 165912 181968 186651 204714 227664 235042 248868 272952 331824 352563 373302 409428 470084 497736 545904 705126 746604 818856 940168 995472 1057689 1410252 1493208 1637712 1880336 2115378 2820504 2986416 3173067 4230756 5641008 6346134 8461512 12692268 16923024 25384536 50769072