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74620928 = 2139109
BaseRepresentation
bin1000111001010…
…10000000000000
312012102010200002
410130222000000
5123100332203
611223215132
71564160504
oct434520000
9165363602
1074620928
1139137898
1220ba74a8
13125c8bc5
149ca6304
15683ed88
hex472a000

74620928 has 28 divisors (see below), whose sum is σ = 149249130. Its totient is φ = 37306368.

The previous prime is 74620883. The next prime is 74620963. The reversal of 74620928 is 82902647.

It can be written as a sum of positive squares in only one way, i.e., 72454144 + 2166784 = 8512^2 + 1472^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74620891 and 74620900.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 3638 + ... + 12746.

Almost surely, 274620928 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 74620928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74624565).

74620928 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

74620928 is an frugal number, since it uses more digits than its factorization.

74620928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9135 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 74620928 is about 8638.3405813848. The cubic root of 74620928 is about 421.0046395827.

The spelling of 74620928 in words is "seventy-four million, six hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 9109 18218 36436 72872 145744 291488 582976 1165952 2331904 4663808 9327616 18655232 37310464 74620928