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1002992406 = 231319732127
BaseRepresentation
bin111011110010000…
…111001100010110
32120220022021220220
4323302013030112
54023231224111
6243305335210
733566203053
oct7362071426
92526267826
101002992406
11475188049
1223ba97506
1312ca47240
14972ca02a
155d0c2e06
hex3bc87316

1002992406 has 96 divisors (see below), whose sum is σ = 2323722240. Its totient is φ = 286094592.

The previous prime is 1002992399. The next prime is 1002992429. The reversal of 1002992406 is 6042992001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7897515 + ... + 7897641.

It is an arithmetic number, because the mean of its divisors is an integer number (24205440).

Almost surely, 21002992406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002992406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161861120).

1002992406 is an abundant number, since it is smaller than the sum of its proper divisors (1320729834).

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

1002992406 is a wasteful number, since it uses less digits than its factorization.

1002992406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1002992406 is about 31670.0553520198. The cubic root of 1002992406 is about 1000.9964753737.

The spelling of 1002992406 in words is "one billion, two million, nine hundred ninety-two thousand, four hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 127 146 219 247 254 381 438 494 741 762 949 1387 1482 1651 1898 2413 2774 2847 3302 4161 4826 4953 5329 5694 7239 8322 9271 9906 10658 14478 15987 18031 18542 27813 31369 31974 36062 54093 55626 62738 69277 94107 101251 108186 120523 138554 176149 188214 202502 207831 241046 303753 352298 361569 415662 528447 607506 676783 723138 1056894 1316263 1353566 2030349 2289937 2632526 3948789 4060698 4579874 6869811 7897578 8798179 12858877 13739622 17596358 25717754 26394537 38576631 52789074 77153262 167165401 334330802 501496203 1002992406