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642418896 = 24371911961
BaseRepresentation
bin100110010010101…
…000100011010000
31122202211021001110
4212102220203100
52303424401041
6143425133320
721630320250
oct4622504320
91582737043
10642418896
112aa6a0909
1215b18a240
13a312b432
1461469960
153b5eb516
hex264a88d0

642418896 has 40 divisors (see below), whose sum is σ = 1896666304. Its totient is φ = 183548160.

The previous prime is 642418871. The next prime is 642418897. The reversal of 642418896 is 698814246.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642418897) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 955645 + ... + 956316.

Almost surely, 2642418896 is an apocalyptic number.

It is an amenable number.

642418896 is an abundant number, since it is smaller than the sum of its proper divisors (1254247408).

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

642418896 is a wasteful number, since it uses less digits than its factorization.

642418896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911979 (or 1911973 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 642418896 is about 25345.9838238724. The cubic root of 642418896 is about 862.8582097054.

It can be divided in two parts, 64241 and 8896, that added together give a palindrome (73137).

The spelling of 642418896 in words is "six hundred forty-two million, four hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1911961 3823922 5735883 7647844 11471766 13383727 15295688 22943532 26767454 30591376 40151181 45887064 53534908 80302362 91774128 107069816 160604724 214139632 321209448 642418896