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1315033392 = 243311994441
BaseRepresentation
bin100111001100001…
…1101000100110000
310101122110121200110
41032120131010300
510143122032032
6334253421320
744405412411
oct11630350460
93348417613
101315033392
11615336062
1230849a840
1317c59c88a
14c6915808
157a6ae7cc
hex4e61d130

1315033392 has 80 divisors (see below), whose sum is σ = 3525171200. Its totient is φ = 421977600.

The previous prime is 1315033367. The next prime is 1315033397. The reversal of 1315033392 is 2933305131.

It is not an unprimeable number, because it can be changed into a prime (1315033397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293892 + ... + 298332.

It is an arithmetic number, because the mean of its divisors is an integer number (44064640).

Almost surely, 21315033392 is an apocalyptic number.

1315033392 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 1315033392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762585600).

1315033392 is an abundant number, since it is smaller than the sum of its proper divisors (2210137808).

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

1315033392 is a wasteful number, since it uses less digits than its factorization.

1315033392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4682 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 1315033392 is about 36263.3891411159. The cubic root of 1315033392 is about 1095.5837791204.

The spelling of 1315033392 in words is "one billion, three hundred fifteen million, thirty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 199 248 372 398 496 597 744 796 1194 1488 1592 2388 3184 4441 4776 6169 8882 9552 12338 13323 17764 18507 24676 26646 35528 37014 49352 53292 71056 74028 98704 106584 137671 148056 213168 275342 296112 413013 550684 826026 883759 1101368 1652052 1767518 2202736 2651277 3304104 3535036 5302554 6608208 7070072 10605108 14140144 21210216 27396529 42420432 54793058 82189587 109586116 164379174 219172232 328758348 438344464 657516696 1315033392