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642625434 = 2331138941
BaseRepresentation
bin100110010011011…
…010111110011010
31122210012202101000
4212103122332122
52304003003214
6143433405430
721632140353
oct4623327632
91583182330
10642625434
112aa822000
1215b269876
13a31a1449
14614c0d2a
153b63c809
hex264daf9a

642625434 has 64 divisors (see below), whose sum is σ = 1570930560. Its totient is φ = 194713200.

The previous prime is 642625433. The next prime is 642625439. The reversal of 642625434 is 434526246.

642625434 is a `hidden beast` number, since 642 + 6 + 2 + 5 + 4 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (642625433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67404 + ... + 76344.

It is an arithmetic number, because the mean of its divisors is an integer number (24545790).

Almost surely, 2642625434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642625434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785465280).

642625434 is an abundant number, since it is smaller than the sum of its proper divisors (928305126).

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

642625434 is a wasteful number, since it uses less digits than its factorization.

642625434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8985 (or 8957 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 642625434 is about 25350.0578697564. The cubic root of 642625434 is about 862.9506695811.

It can be divided in two parts, 64262 and 5434, that added together give a palindrome (69696).

The spelling of 642625434 in words is "six hundred forty-two million, six hundred twenty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 1331 2178 2662 3267 3993 6534 7986 8941 11979 17882 23958 26823 35937 53646 71874 80469 98351 160938 196702 241407 295053 482814 590106 885159 1081861 1770318 2163722 2655477 3245583 5310954 6491166 9736749 11900471 19473498 23800942 29210247 35701413 58420494 71402826 107104239 214208478 321312717 642625434