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1249371904 = 28111921229
BaseRepresentation
bin100101001110111…
…1110011100000000
310020001220200001111
41022131332130000
510024314400104
6323550213104
742650325454
oct11235763400
93201820044
101249371904
11591268670
122aa4b4194
1316babca21
14bbd02664
1574a3e404
hex4a77e700

1249371904 has 108 divisors (see below), whose sum is σ = 2873639160. Its totient is φ = 537569280.

The previous prime is 1249371901. The next prime is 1249371913. The reversal of 1249371904 is 4091739421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249371901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1015962 + ... + 1017190.

It is an arithmetic number, because the mean of its divisors is an integer number (26607770).

Almost surely, 21249371904 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 1249371904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436819580).

1249371904 is an abundant number, since it is smaller than the sum of its proper divisors (1624267256).

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

1249371904 is a wasteful number, since it uses less digits than its factorization.

1249371904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 1249371904 is about 35346.4553244028. The cubic root of 1249371904 is about 1077.0368892128.

The spelling of 1249371904 in words is "one billion, two hundred forty-nine million, three hundred seventy-one thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 361 418 608 704 722 836 1216 1229 1408 1444 1672 2432 2458 2816 2888 3344 3971 4864 4916 5776 6688 7942 9832 11552 13376 13519 15884 19664 23104 23351 26752 27038 31768 39328 46208 46702 53504 54076 63536 78656 92416 93404 108152 127072 157312 186808 216304 254144 256861 314624 373616 432608 443669 508288 513722 747232 865216 887338 1016576 1027444 1494464 1730432 1774676 2054888 2988928 3460864 3549352 4109776 4880359 5977856 7098704 8219552 9760718 14197408 16439104 19521436 28394816 32878208 39042872 56789632 65756416 78085744 113579264 156171488 312342976 624685952 1249371904