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75420672 = 210324551
BaseRepresentation
bin1000111111011…
…01010000000000
312020220202201020
410133231100000
5123301430142
611252305440
71604031225
oct437552000
9166822636
1075420672
1139633738
1221312280
1312818c22
14a03394c
15694bcec
hex47ed400

75420672 has 44 divisors (see below), whose sum is σ = 201031776. Its totient is φ = 25139200.

The previous prime is 75420661. The next prime is 75420691. The reversal of 75420672 is 27602457.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 9204 + ... + 15347.

It is an arithmetic number, because the mean of its divisors is an integer number (4568904).

Almost surely, 275420672 is an apocalyptic number.

It is an amenable number.

75420672 is an abundant number, since it is smaller than the sum of its proper divisors (125611104).

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

75420672 is a wasteful number, since it uses less digits than its factorization.

75420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24574 (or 24556 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 75420672 is about 8684.5075853499. The cubic root of 75420672 is about 422.5033264213.

The spelling of 75420672 in words is "seventy-five million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 24551 49102 73653 98204 147306 196408 294612 392816 589224 785632 1178448 1571264 2356896 3142528 4713792 6285056 9427584 12570112 18855168 25140224 37710336 75420672