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713838144 = 26324115427
BaseRepresentation
bin101010100011000…
…100111001000000
31211202012201211210
4222203010321000
52430220310034
6154500010120
723455344525
oct5243047100
91752181753
10713838144
11336a41188
1217b090940
13b4b75c46
146ab3b14c
1542a078e9
hex2a8c4e40

713838144 has 56 divisors (see below), whose sum is σ = 1896656608. Its totient is φ = 236943360.

The previous prime is 713838137. The next prime is 713838163. The reversal of 713838144 is 441838317.

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 7 ways as a sum of consecutive naturals, for example, 38559 + ... + 53985.

It is an arithmetic number, because the mean of its divisors is an integer number (33868868).

Almost surely, 2713838144 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 713838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948328304).

713838144 is an abundant number, since it is smaller than the sum of its proper divisors (1182818464).

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

713838144 is a wasteful number, since it uses less digits than its factorization.

713838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15673 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 713838144 is about 26717.7496058332. The cubic root of 713838144 is about 893.7167899114.

The spelling of 713838144 in words is "seven hundred thirteen million, eight hundred thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 241 482 723 964 1446 1928 2892 3856 5784 7712 11568 15424 15427 23136 30854 46272 46281 61708 92562 123416 185124 246832 370248 493664 740496 987328 1480992 2961984 3717907 7435814 11153721 14871628 22307442 29743256 44614884 59486512 89229768 118973024 178459536 237946048 356919072 713838144