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74874144 = 253779939
BaseRepresentation
bin1000111011001…
…11110100100000
312012220000000110
410131213310200
5123131433034
611232451320
71566263652
oct435476440
9165800013
1074874144
11392a0064
12210a9b40
1312687237
149d306d2
15688ede9
hex4767d20

74874144 has 24 divisors (see below), whose sum is σ = 196544880. Its totient is φ = 24958016.

The previous prime is 74874097. The next prime is 74874167. The reversal of 74874144 is 44147847.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×748741443 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 389874 + ... + 390065.

It is an arithmetic number, because the mean of its divisors is an integer number (8189370).

Almost surely, 274874144 is an apocalyptic number.

It is an amenable number.

74874144 is an abundant number, since it is smaller than the sum of its proper divisors (121670736).

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

74874144 is a wasteful number, since it uses less digits than its factorization.

74874144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779952 (or 779944 counting only the distinct ones).

The product of its digits is 100352, while the sum is 39.

The square root of 74874144 is about 8652.9846873781. The cubic root of 74874144 is about 421.4803093318.

The spelling of 74874144 in words is "seventy-four million, eight hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 779939 1559878 2339817 3119756 4679634 6239512 9359268 12479024 18718536 24958048 37437072 74874144