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478269990 = 232511587823
BaseRepresentation
bin11100100000011…
…101001000100110
31020022221122002100
4130200131020212
51434414114430
6115242552530
714565141102
oct3440351046
91208848070
10478269990
11225a75360
12114208746
13781173c3
144773a902
152bec4960
hex1c81d226

478269990 has 96 divisors (see below), whose sum is σ = 1360509696. Its totient is φ = 115606080.

The previous prime is 478269983. The next prime is 478270003. The reversal of 478269990 is 99962874.

It is a Curzon number.

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, 580719 + ... + 581541.

It is an arithmetic number, because the mean of its divisors is an integer number (14171976).

Almost surely, 2478269990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478269990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680254848).

478269990 is an abundant number, since it is smaller than the sum of its proper divisors (882239706).

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

478269990 is a wasteful number, since it uses less digits than its factorization.

478269990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 478269990 is about 21869.3847650088. The cubic root of 478269990 is about 782.0317347247.

The spelling of 478269990 in words is "four hundred seventy-eight million, two hundred sixty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 587 823 990 1174 1646 1761 2469 2935 3522 4115 4938 5283 5870 6457 7407 8230 8805 9053 10566 12345 12914 14814 17610 18106 19371 24690 26415 27159 32285 37035 38742 45265 52830 54318 58113 64570 74070 81477 90530 96855 116226 135795 162954 193710 271590 290565 407385 483101 581130 814770 966202 1449303 2415505 2898606 4347909 4831010 5314111 7246515 8695818 10628222 14493030 15942333 21739545 26570555 31884666 43479090 47826999 53141110 79711665 95653998 159423330 239134995 478269990