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48012096 = 26311127179
BaseRepresentation
bin1011011100100…
…1101101000000
310100100021012210
42313021231000
544242341341
64433022120
71122044646
oct267115500
9110307183
1048012096
1125113220
12140b4940
139c40632
14653b196
154335c16
hex2dc9b40

48012096 has 112 divisors (see below), whose sum is σ = 140451840. Its totient is φ = 14353920.

The previous prime is 48012079. The next prime is 48012119. The reversal of 48012096 is 69021084.

It is a super-2 number, since 2×480120962 = 4610322724626432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268135 + ... + 268313.

Almost surely, 248012096 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 48012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70225920).

48012096 is an abundant number, since it is smaller than the sum of its proper divisors (92439744).

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

48012096 is a wasteful number, since it uses less digits than its factorization.

48012096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 48012096 is about 6929.0761288934. The cubic root of 48012096 is about 363.4546436284.

The spelling of 48012096 in words is "forty-eight million, twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 127 132 176 179 192 254 264 352 358 381 508 528 537 704 716 762 1016 1056 1074 1397 1432 1524 1969 2032 2112 2148 2794 2864 3048 3938 4064 4191 4296 5588 5728 5907 6096 7876 8128 8382 8592 11176 11456 11814 12192 15752 16764 17184 22352 22733 23628 24384 31504 33528 34368 44704 45466 47256 63008 67056 68199 89408 90932 94512 126016 134112 136398 181864 189024 250063 268224 272796 363728 378048 500126 545592 727456 750189 1000252 1091184 1454912 1500378 2000504 2182368 3000756 4001008 4364736 6001512 8002016 12003024 16004032 24006048 48012096