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70738048 = 271493709
BaseRepresentation
bin1000011011101…
…10000010000000
311221002212100201
410031312002000
5121102104143
611004054544
71516156243
oct415660200
9157085321
1070738048
1136a255a7
121b834454
1311869744
14957525a
15632464d
hex4376080

70738048 has 32 divisors (see below), whose sum is σ = 141907500. Its totient is φ = 35122176.

The previous prime is 70738039. The next prime is 70738051. The reversal of 70738048 is 84083707.

It can be written as a sum of positive squares in 2 ways, for example, as 62853184 + 7884864 = 7928^2 + 2808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 70737998 and 70738016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17218 + ... + 20926.

Almost surely, 270738048 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 70738048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70953750).

70738048 is an abundant number, since it is smaller than the sum of its proper divisors (71169452).

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

70738048 is a wasteful number, since it uses less digits than its factorization.

70738048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3872 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 70738048 is about 8410.5914179682. The cubic root of 70738048 is about 413.5719006634.

The spelling of 70738048 in words is "seventy million, seven hundred thirty-eight thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 149 298 596 1192 2384 3709 4768 7418 9536 14836 19072 29672 59344 118688 237376 474752 552641 1105282 2210564 4421128 8842256 17684512 35369024 70738048