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50093424 = 24331719359
BaseRepresentation
bin1011111100010…
…1110101110000
310111021000021000
42333011311300
5100310442144
64545402000
71145533653
oct277056560
9114230230
1050093424
1126304a27
1214939300
13a4bbaa4
14691d89a
1545e7769
hex2fc5d70

50093424 has 160 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 14846976.

The previous prime is 50093423. The next prime is 50093437. The reversal of 50093424 is 42439005.

It is a super-2 number, since 2×500934242 = 5018702256087552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50093423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139357 + ... + 139715.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 250093424 is an apocalyptic number.

50093424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50093424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

50093424 is an abundant number, since it is smaller than the sum of its proper divisors (110610576).

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

50093424 is a wasteful number, since it uses less digits than its factorization.

50093424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 50093424 is about 7077.6708033081. The cubic root of 50093424 is about 368.6324584096.

The spelling of 50093424 in words is "fifty million, ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 27 34 36 38 48 51 54 57 68 72 76 102 108 114 136 144 152 153 171 204 216 228 272 304 306 323 342 359 408 432 456 459 513 612 646 684 718 816 912 918 969 1026 1077 1224 1292 1368 1436 1836 1938 2052 2154 2448 2584 2736 2872 2907 3231 3672 3876 4104 4308 5168 5744 5814 6103 6462 6821 7344 7752 8208 8616 8721 9693 11628 12206 12924 13642 15504 17232 17442 18309 19386 20463 23256 24412 25848 27284 34884 36618 38772 40926 46512 48824 51696 54568 54927 61389 69768 73236 77544 81852 97648 109136 109854 115957 122778 139536 146472 155088 163704 164781 184167 219708 231914 245556 292944 327408 329562 347871 368334 439416 463828 491112 659124 695742 736668 878832 927656 982224 1043613 1318248 1391484 1473336 1855312 2087226 2636496 2782968 2946672 3130839 4174452 5565936 6261678 8348904 12523356 16697808 25046712 50093424