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75104768 = 293832
BaseRepresentation
bin1000111101000…
…00001000000000
312020022201101002
410132200020000
5123211323033
611241431132
71601244224
oct436401000
9166281332
1075104768
1139438362
122119b4a8
13127381bb
149d90784
1568d83e8
hex47a0200

75104768 has 30 divisors (see below), whose sum is σ = 150455679. Its totient is φ = 37454336.

The previous prime is 75104761. The next prime is 75104773. The reversal of 75104768 is 86740157.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 37552384 + 37552384 = 6128^2 + 6128^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6128.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75104761) 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 2 ways as a sum of consecutive naturals, for example, 195905 + ... + 196287.

Almost surely, 275104768 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 75104768

75104768 is an abundant number, since it is smaller than the sum of its proper divisors (75350911).

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

75104768 is an frugal number, since it uses more digits than its factorization.

75104768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 75104768 is about 8666.3007102223. The cubic root of 75104768 is about 421.9126074056.

The spelling of 75104768 in words is "seventy-five million, one hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 383 512 766 1532 3064 6128 12256 24512 49024 98048 146689 196096 293378 586756 1173512 2347024 4694048 9388096 18776192 37552384 75104768