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74055816 = 23331672053
BaseRepresentation
bin1000110101000…
…00000010001000
312011100102111000
410122200002020
5122424241231
611203135000
71556315112
oct432400210
9164312430
1074055816
113889125a
1220974460
131245b913
149b9a3b2
15677c6e6
hex46a0088

74055816 has 64 divisors (see below), whose sum is σ = 207043200. Its totient is φ = 24525504.

The previous prime is 74055811. The next prime is 74055827. The reversal of 74055816 is 61855047.

74055816 is a `hidden beast` number, since 74 + 0 + 5 + 581 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (74055811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35046 + ... + 37098.

It is an arithmetic number, because the mean of its divisors is an integer number (3235050).

Almost surely, 274055816 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 74055816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103521600).

74055816 is an abundant number, since it is smaller than the sum of its proper divisors (132987384).

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

74055816 is a wasteful number, since it uses less digits than its factorization.

74055816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 74055816 is about 8605.5688946170. The cubic root of 74055816 is about 419.9391748651.

The spelling of 74055816 in words is "seventy-four million, fifty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 167 216 334 501 668 1002 1336 1503 2004 2053 3006 4008 4106 4509 6012 6159 8212 9018 12024 12318 16424 18036 18477 24636 36072 36954 49272 55431 73908 110862 147816 221724 342851 443448 685702 1028553 1371404 2057106 2742808 3085659 4114212 6171318 8228424 9256977 12342636 18513954 24685272 37027908 74055816