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642043064 = 2313291931103
BaseRepresentation
bin100110010001001…
…100110010111000
31122202010011111202
4212101030302320
52303330334224
6143413113332
721624163445
oct4621146270
91582104452
10642043064
112aa464503
1215b028848
13a3029350
14613ac9cc
153b574eae
hex2644ccb8

642043064 has 64 divisors (see below), whose sum is σ = 1349308800. Its totient is φ = 284368896.

The previous prime is 642043043. The next prime is 642043069. The reversal of 642043064 is 460340246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642043069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581537 + ... + 582639.

It is an arithmetic number, because the mean of its divisors is an integer number (21082950).

Almost surely, 2642043064 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 642043064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674654400).

642043064 is an abundant number, since it is smaller than the sum of its proper divisors (707265736).

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

642043064 is a wasteful number, since it uses less digits than its factorization.

642043064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 642043064 is about 25338.5687046447. The cubic root of 642043064 is about 862.6899119439.

The spelling of 642043064 in words is "six hundred forty-two million, forty-three thousand, sixty-four".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 193 232 377 386 754 772 1103 1508 1544 2206 2509 3016 4412 5018 5597 8824 10036 11194 14339 20072 22388 28678 31987 44776 57356 63974 72761 114712 127948 145522 212879 255896 291044 415831 425758 582088 831662 851516 1663324 1703032 2767427 3326648 5534854 6173491 11069708 12346982 22139416 24693964 49387928 80255383 160510766 321021532 642043064