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1357411392 = 2633809971
BaseRepresentation
bin101000011101000…
…0111010001000000
310111121012122101000
41100322013101000
510234444131032
6342410012000
745431543421
oct12072072100
93447178330
101357411392
116372502a7
1231a717000
131882b990c
14cc3c7648
157e280e7c
hex50e87440

1357411392 has 112 divisors (see below), whose sum is σ = 3999585600. Its totient is φ = 451445760.

The previous prime is 1357411379. The next prime is 1357411397. The reversal of 1357411392 is 2931147531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1357411397) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1397467 + ... + 1398437.

Almost surely, 21357411392 is an apocalyptic number.

1357411392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1357411392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999792800).

1357411392 is an abundant number, since it is smaller than the sum of its proper divisors (2642174208).

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

1357411392 is an equidigital number, since it uses as much as digits as its factorization.

1357411392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1785 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 1357411392 is about 36843.0643676663. The cubic root of 1357411392 is about 1107.2282635317.

The spelling of 1357411392 in words is "one billion, three hundred fifty-seven million, four hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 809 864 971 1618 1728 1942 2427 2913 3236 3884 4854 5826 6472 7281 7768 8739 9708 11652 12944 14562 15536 17478 19416 21843 23304 25888 26217 29124 31072 34956 38832 43686 46608 51776 52434 58248 62144 69912 77664 87372 93216 104868 116496 139824 155328 174744 186432 209736 232992 279648 349488 419472 465984 559296 698976 785539 838944 1397952 1571078 1677888 2356617 3142156 4713234 6284312 7069851 9426468 12568624 14139702 18852936 21209553 25137248 28279404 37705872 42419106 50274496 56558808 75411744 84838212 113117616 150823488 169676424 226235232 339352848 452470464 678705696 1357411392