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50421624 = 233113161101
BaseRepresentation
bin1100000001010…
…1111101111000
310111212200110120
43000111331320
5100401442444
65000413240
71151401551
oct300257570
9114780416
1050421624
1126509570
1214a77220
13a5a52a6
1469a7328
15465eb19
hex3015f78

50421624 has 128 divisors (see below), whose sum is σ = 145704960. Its totient is φ = 14400000.

The previous prime is 50421599. The next prime is 50421641. The reversal of 50421624 is 42612405.

50421624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (24) 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 50421594 and 50421603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499174 + ... + 499274.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 250421624 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 50421624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72852480).

50421624 is an abundant number, since it is smaller than the sum of its proper divisors (95283336).

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

50421624 is a wasteful number, since it uses less digits than its factorization.

50421624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 50421624 is about 7100.8185443651. The cubic root of 50421624 is about 369.4357701613.

It can be divided in two parts, 5042 and 1624, that added together give a palindrome (6666).

The spelling of 50421624 in words is "fifty million, four hundred twenty-one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 61 62 66 88 93 101 122 124 132 183 186 202 244 248 264 303 341 366 372 404 488 606 671 682 732 744 808 1023 1111 1212 1342 1364 1464 1891 2013 2046 2222 2424 2684 2728 3131 3333 3782 4026 4092 4444 5368 5673 6161 6262 6666 7564 8052 8184 8888 9393 11346 12322 12524 13332 15128 16104 18483 18786 20801 22692 24644 25048 26664 34441 36966 37572 41602 45384 49288 62403 67771 68882 73932 75144 83204 103323 124806 135542 137764 147864 166408 190991 203313 206646 249612 271084 275528 381982 406626 413292 499224 542168 572973 763964 813252 826584 1145946 1527928 1626504 2100901 2291892 4201802 4583784 6302703 8403604 12605406 16807208 25210812 50421624