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48112416 = 25321115187
BaseRepresentation
bin1011011110001…
…0001100100000
310100112100211100
42313202030200
544304044131
64435114400
71122643302
oct267421440
9110470740
1048112416
1125181630
1214142a00
139c771b1
146565972
1543557e6
hex2de2320

48112416 has 72 divisors (see below), whose sum is σ = 149267664. Its totient is φ = 14578560.

The previous prime is 48112367. The next prime is 48112417. The reversal of 48112416 is 61421184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48112416.

It is not an unprimeable number, because it can be changed into a prime (48112417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4426 + ... + 10761.

It is an arithmetic number, because the mean of its divisors is an integer number (2073162).

Almost surely, 248112416 is an apocalyptic number.

It is an amenable number.

48112416 is an abundant number, since it is smaller than the sum of its proper divisors (101155248).

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

48112416 is a wasteful number, since it uses less digits than its factorization.

48112416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15214 (or 15203 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 48112416 is about 6936.3114116943. The cubic root of 48112416 is about 363.7076104640.

It can be divided in two parts, 4811 and 2416, that added together give a palindrome (7227).

The spelling of 48112416 in words is "forty-eight million, one hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 15187 30374 45561 60748 91122 121496 136683 167057 182244 242992 273366 334114 364488 485984 501171 546732 668228 728976 1002342 1093464 1336456 1457952 1503513 2004684 2186928 2672912 3007026 4009368 4373856 5345824 6014052 8018736 12028104 16037472 24056208 48112416