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1331449504 = 257113117431
BaseRepresentation
bin100111101011100…
…0100111010100000
310102210100122100121
41033113010322200
510211322341004
6340041330024
744665063660
oct11727047240
93383318317
101331449504
116236287a0
12311a96914
13182ac9958
14c8b8a1a0
157bd53854
hex4f5c4ea0

1331449504 has 96 divisors (see below), whose sum is σ = 3373719552. Its totient is φ = 501984000.

The previous prime is 1331449487. The next prime is 1331449513. The reversal of 1331449504 is 4059441331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331449504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67669 + ... + 85099.

It is an arithmetic number, because the mean of its divisors is an integer number (35142912).

Almost surely, 21331449504 is an apocalyptic number.

1331449504 is a gapful number since it is divisible by the number (14) 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 1331449504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686859776).

1331449504 is an abundant number, since it is smaller than the sum of its proper divisors (2042270048).

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

1331449504 is a wasteful number, since it uses less digits than its factorization.

1331449504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17490 (or 17482 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 1331449504 is about 36489.0326536618. The cubic root of 1331449504 is about 1100.1238163657.

The spelling of 1331449504 in words is "one billion, three hundred thirty-one million, four hundred forty-nine thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 992 1232 1364 1736 2387 2464 2728 3472 4774 5456 6944 9548 10912 17431 19096 34862 38192 69724 76384 122017 139448 191741 244034 278896 383482 488068 540361 557792 766964 976136 1080722 1342187 1533928 1952272 2161444 2684374 3067856 3782527 3904544 4322888 5368748 5943971 6135712 7565054 8645776 10737496 11887942 15130108 17291552 21474992 23775884 30260216 41607797 42949984 47551768 60520432 83215594 95103536 121040864 166431188 190207072 332862376 665724752 1331449504