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93924048 = 24317314779
BaseRepresentation
bin1011001100100…
…10101011010000
320112201211120110
411212102223100
5143021032143
613153041320
72220225021
oct546225320
9215654513
1093924048
1149021589
1227556240
13165c707a
14c68cc48
1583a4533
hex5992ad0

93924048 has 160 divisors (see below), whose sum is σ = 274268160. Its totient is φ = 27555840.

The previous prime is 93924037. The next prime is 93924053. The reversal of 93924048 is 84042939.

It is a junction number, because it is equal to n+sod(n) for n = 93923997 and 93924015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188873 + ... + 1188951.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 293924048 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 93924048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137134080).

93924048 is an abundant number, since it is smaller than the sum of its proper divisors (180344112).

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

93924048 is a wasteful number, since it uses less digits than its factorization.

93924048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 93924048 is about 9691.4419979691. The cubic root of 93924048 is about 454.5610999318.

The spelling of 93924048 in words is "ninety-three million, nine hundred twenty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 47 48 51 62 68 79 93 94 102 124 136 141 158 186 188 204 237 248 272 282 316 372 376 408 474 496 527 564 632 744 752 799 816 948 1054 1128 1264 1343 1457 1488 1581 1598 1896 2108 2256 2397 2449 2686 2914 3162 3196 3713 3792 4029 4216 4371 4794 4898 5372 5828 6324 6392 7347 7426 8058 8432 8742 9588 9796 10744 11139 11656 12648 12784 14694 14852 16116 17484 19176 19592 21488 22278 23312 24769 25296 29388 29704 32232 34968 38352 39184 41633 44556 49538 58776 59408 63121 64464 69936 74307 83266 89112 99076 115103 117552 124899 126242 148614 166532 178224 189363 198152 230206 249798 252484 297228 333064 345309 378726 396304 460412 499596 504968 594456 666128 690618 757452 920824 999192 1009936 1188912 1381236 1514904 1841648 1956751 1998384 2762472 3029808 3913502 5524944 5870253 7827004 11740506 15654008 23481012 31308016 46962024 93924048