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642662472 = 23337799161
BaseRepresentation
bin100110010011100…
…100000001001000
31122210021122011210
4212103210001020
52304010144342
6143434253120
721632353344
oct4623440110
91583248153
10642662472
112aa847911
1215b2871a0
13a31b526a
14614d0624
153b64879c
hex264e4048

642662472 has 64 divisors (see below), whose sum is σ = 1671148800. Its totient is φ = 205770240.

The previous prime is 642662467. The next prime is 642662473. The reversal of 642662472 is 274266246.

It is a self number, because there is not a number n which added to its sum of digits gives 642662472.

It is not an unprimeable number, because it can be changed into a prime (642662473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65572 + ... + 74732.

It is an arithmetic number, because the mean of its divisors is an integer number (26111700).

Almost surely, 2642662472 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 642662472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835574400).

642662472 is an abundant number, since it is smaller than the sum of its proper divisors (1028486328).

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

642662472 is a wasteful number, since it uses less digits than its factorization.

642662472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 9282 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 642662472 is about 25350.7883901073. The cubic root of 642662472 is about 862.9672481100.

The spelling of 642662472 in words is "six hundred forty-two million, six hundred sixty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 79 111 148 158 222 237 296 316 444 474 632 888 948 1896 2923 5846 8769 9161 11692 17538 18322 23384 27483 35076 36644 54966 70152 73288 109932 219864 338957 677914 723719 1016871 1355828 1447438 2033742 2171157 2711656 2894876 4067484 4342314 5789752 8134968 8684628 17369256 26777603 53555206 80332809 107110412 160665618 214220824 321331236 642662472