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24993072 = 243213379
BaseRepresentation
bin101111101010…
…1110100110000
31202000210001100
41133111310300
522344234242
62251404400
7422303046
oct137256460
952023040
1024993072
1113120735
128453700
135241000
143468396
1522da54c
hex17d5d30

24993072 has 120 divisors (see below), whose sum is σ = 76731200. Its totient is φ = 7592832.

The previous prime is 24993061. The next prime is 24993091. The reversal of 24993072 is 27039942.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 316329 + ... + 316407.

Almost surely, 224993072 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 24993072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38365600).

24993072 is an abundant number, since it is smaller than the sum of its proper divisors (51738128).

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

24993072 is a wasteful number, since it uses less digits than its factorization.

24993072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 24993072 is about 4999.3071519962. The cubic root of 24993072 is about 292.3747611994.

The spelling of 24993072 in words is "twenty-four million, nine hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 79 104 117 144 156 158 169 208 234 237 312 316 338 468 474 507 624 632 676 711 936 948 1014 1027 1264 1352 1422 1521 1872 1896 2028 2054 2197 2704 2844 3042 3081 3792 4056 4108 4394 5688 6084 6162 6591 8112 8216 8788 9243 11376 12168 12324 13182 13351 16432 17576 18486 19773 24336 24648 26364 26702 35152 36972 39546 40053 49296 52728 53404 73944 79092 80106 105456 106808 120159 147888 158184 160212 173563 213616 240318 316368 320424 347126 480636 520689 640848 694252 961272 1041378 1388504 1562067 1922544 2082756 2777008 3124134 4165512 6248268 8331024 12496536 24993072