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1004418252 = 223343313691
BaseRepresentation
bin111011110111100…
…011010011001100
32120222222201211000
4323313203103030
54024112341002
6243400100300
733614262045
oct7367432314
92528881730
101004418252
11475a71332
12240464690
13130126236
149757b8cc
155d2a561c
hex3bde34cc

1004418252 has 96 divisors (see below), whose sum is σ = 2676988160. Its totient is φ = 325503360.

The previous prime is 1004418227. The next prime is 1004418263. The reversal of 1004418252 is 2528144001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1453227 + ... + 1453917.

Almost surely, 21004418252 is an apocalyptic number.

1004418252 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 1004418252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338494080).

1004418252 is an abundant number, since it is smaller than the sum of its proper divisors (1672569908).

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

1004418252 is a wasteful number, since it uses less digits than its factorization.

1004418252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1004418252 is about 31692.5583063280. The cubic root of 1004418252 is about 1001.4705869805.

The spelling of 1004418252 in words is "one billion, four million, four hundred eighteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 313 387 516 626 691 774 939 1161 1252 1382 1548 1878 2073 2322 2764 2817 3756 4146 4644 5634 6219 8292 8451 11268 12438 13459 16902 18657 24876 26918 29713 33804 37314 40377 53836 59426 74628 80754 89139 118852 121131 161508 178278 216283 242262 267417 356556 363393 432566 484524 534834 648849 726786 802251 865132 1069668 1297698 1453572 1604502 1946547 2595396 3209004 3893094 5839641 7786188 9300169 11679282 18600338 23358564 27900507 37200676 55801014 83701521 111602028 167403042 251104563 334806084 502209126 1004418252