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637913142 = 232231818513
BaseRepresentation
bin100110000001011…
…100100000110110
31122110100100022200
4212001130200312
52301301210032
6143144405330
721544113036
oct4601344066
91573310280
10637913142
112a80a3649
12159776846
13a22115c9
1460a158c6
153b00b47c
hex2605c836

637913142 has 48 divisors (see below), whose sum is σ = 1450376928. Its totient is φ = 202245120.

The previous prime is 637913123. The next prime is 637913149. The reversal of 637913142 is 241319736.

637913142 is a `hidden beast` number, since 637 + 9 + 1 + 3 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 637913097 and 637913106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (637913149) 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, 70678 + ... + 79190.

It is an arithmetic number, because the mean of its divisors is an integer number (30216186).

Almost surely, 2637913142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 637913142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725188464).

637913142 is an abundant number, since it is smaller than the sum of its proper divisors (812463786).

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

637913142 is a wasteful number, since it uses less digits than its factorization.

637913142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8722 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 637913142 is about 25256.9424515320. The cubic root of 637913142 is about 860.8361895825.

The spelling of 637913142 in words is "six hundred thirty-seven million, nine hundred thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 181 207 362 414 543 1086 1629 3258 4163 8326 8513 12489 17026 24978 25539 37467 51078 74934 76617 153234 195799 391598 587397 1174794 1540853 1762191 3081706 3524382 4622559 9245118 13867677 27735354 35439619 70879238 106318857 212637714 318956571 637913142