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6480000492 = 2237254720147
BaseRepresentation
bin1100000100011110…
…01111010111101100
3121201121021010120020
412002033033113230
5101232340003432
62551000522140
7316403044500
oct60217172754
917647233506
106480000492
112825878309
12130a180350
137c366aa24
1445687a300
1527dd5022c
hex1823cf5ec

6480000492 has 72 divisors (see below), whose sum is σ = 17621601984. Its totient is φ = 1847952288.

The previous prime is 6480000479. The next prime is 6480000493. The reversal of 6480000492 is 2940000846.

It is not an unprimeable number, because it can be changed into a prime (6480000493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 311563 + ... + 331709.

It is an arithmetic number, because the mean of its divisors is an integer number (244744472).

Almost surely, 26480000492 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 6480000492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810800992).

6480000492 is an abundant number, since it is smaller than the sum of its proper divisors (11141601492).

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

6480000492 is a wasteful number, since it uses less digits than its factorization.

6480000492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20715 (or 20706 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6480000492 is about 80498.4502459519. The cubic root of 6480000492 is about 1864.3395507562.

The spelling of 6480000492 in words is "six billion, four hundred eighty million, four hundred ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 547 588 1094 1641 2188 3282 3829 6564 7658 11487 15316 20147 22974 26803 40294 45948 53606 60441 80409 80588 107212 120882 141029 160818 241764 282058 321636 423087 564116 846174 987203 1692348 1974406 2961609 3948812 5923218 11020409 11846436 22040818 33061227 44081636 66122454 77142863 132244908 154285726 231428589 308571452 462857178 540000041 925714356 1080000082 1620000123 2160000164 3240000246 6480000492