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715128832 = 2211131
BaseRepresentation
bin101010101000000…
…000000000000000
31211211122022100001
4222220000000000
52431033110312
6154543405344
723502331465
oct5250000000
91754568301
10715128832
11337742970
1217b5b3854
13b5208572
146ad9566c
1542bb0057
hex2aa00000

715128832 has 88 divisors (see below), whose sum is σ = 1610612352. Its totient is φ = 314572800.

The previous prime is 715128809. The next prime is 715128833. The reversal of 715128832 is 238821517.

It is a tau number, because it is divible by the number of its divisors (88).

It is a super-2 number, since 2×7151288322 = 1022818492715368448, which contains 22 as substring.

Its product of digits (26880) is a multiple of the sum of its prime factors (84).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 715128791 and 715128800.

It is not an unprimeable number, because it can be changed into a prime (715128833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23068657 + ... + 23068687.

Almost surely, 2715128832 is an apocalyptic number.

715128832 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 715128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805306176).

715128832 is an abundant number, since it is smaller than the sum of its proper divisors (895483520).

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

715128832 is an frugal number, since it uses more digits than its factorization.

715128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 44 counting only the distinct ones).

The product of its digits is 26880, while the sum is 37.

The square root of 715128832 is about 26741.8928275468. The cubic root of 715128832 is about 894.2551075607.

The spelling of 715128832 in words is "seven hundred fifteen million, one hundred twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1024 1364 1408 1984 2048 2728 2816 3968 4096 5456 5632 7936 8192 10912 11264 15872 16384 21824 22528 31744 32768 43648 45056 63488 65536 87296 90112 126976 131072 174592 180224 253952 262144 349184 360448 507904 524288 698368 720896 1015808 1048576 1396736 1441792 2031616 2097152 2793472 2883584 4063232 5586944 5767168 8126464 11173888 11534336 16252928 22347776 23068672 32505856 44695552 65011712 89391104 178782208 357564416 715128832