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42764000490 = 2335670323629
BaseRepresentation
bin100111110100111011…
…101101110011101010
311002101022000022101000
4213310323231303222
51200040041003430
631351232535430
73042506002161
oct476473556352
9132338008330
1042764000490
1117155188572
1283556b1576
1340568b6b03
1420d97003d8
1511a44aee60
hex9f4eedcea

42764000490 has 64 divisors (see below), whose sum is σ = 114059174400. Its totient is φ = 11401549632.

The previous prime is 42764000483. The next prime is 42764000507. The reversal of 42764000490 is 9400046724.

42764000490 is a `hidden beast` number, since 4 + 2 + 7 + 640 + 0 + 0 + 4 + 9 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797996 + ... + 1821624.

It is an arithmetic number, because the mean of its divisors is an integer number (1782174600).

Almost surely, 242764000490 is an apocalyptic number.

42764000490 is an abundant number, since it is smaller than the sum of its proper divisors (71295173910).

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

42764000490 is a wasteful number, since it uses less digits than its factorization.

42764000490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30348 (or 30342 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42764000490 in words is "forty-two billion, seven hundred sixty-four million, four hundred ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 6703 13406 20109 23629 33515 40218 47258 60327 67030 70887 100545 118145 120654 141774 180981 201090 212661 236290 301635 354435 361962 425322 603270 637983 708870 904905 1063305 1275966 1809810 2126610 3189915 6379830 158385187 316770374 475155561 791925935 950311122 1425466683 1583851870 2375777805 2850933366 4276400049 4751555610 7127333415 8552800098 14254666830 21382000245 42764000490