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642275604 = 2232181241409
BaseRepresentation
bin100110010010000…
…101100100010100
31122202112222111100
4212102011210110
52303410304404
6143422110100
721626152425
oct4622054424
91582488440
10642275604
112aa603193
1215b11b330
13a30ab149
146142d64c
153b5bdd39
hex26485914

642275604 has 72 divisors (see below), whose sum is σ = 1643281640. Its totient is φ = 211507200.

The previous prime is 642275597. The next prime is 642275653. The reversal of 642275604 is 406572246.

642275604 is a `hidden beast` number, since 6 + 42 + 2 + 7 + 5 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 110880900 + 531394704 = 10530^2 + 23052^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570152 + ... + 1570560.

Almost surely, 2642275604 is an apocalyptic number.

It is an amenable number.

642275604 is an abundant number, since it is smaller than the sum of its proper divisors (1001006036).

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

642275604 is a wasteful number, since it uses less digits than its factorization.

642275604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 642275604 is about 25343.1569462054. The cubic root of 642275604 is about 862.7940512188.

The spelling of 642275604 in words is "six hundred forty-two million, two hundred seventy-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 181 241 362 409 482 543 723 724 818 964 1086 1227 1446 1629 1636 2169 2172 2454 2892 3258 3681 4338 4908 6516 7362 8676 14724 43621 74029 87242 98569 130863 148058 174484 197138 222087 261726 295707 296116 392589 394276 444174 523452 591414 666261 785178 887121 888348 1182828 1332522 1570356 1774242 2665044 3548484 17840989 35681978 53522967 71363956 107045934 160568901 214091868 321137802 642275604