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642267400 = 23529973221
BaseRepresentation
bin100110010010000…
…011100100001000
31122202112120020111
4212102003210020
52303410024100
6143422004104
721626116465
oct4622034410
91582476214
10642267400
112aa5a8005
1215b116634
13a30a74a8
146142a66c
153b5bb6ba
hex26483908

642267400 has 48 divisors (see below), whose sum is σ = 1495233540. Its totient is φ = 256569600.

The previous prime is 642267389. The next prime is 642267401. The reversal of 642267400 is 4762246.

It can be written as a sum of positive squares in 6 ways, for example, as 447999556 + 194267844 = 21166^2 + 13938^2 .

It is not an unprimeable number, because it can be changed into a prime (642267401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197790 + ... + 201010.

Almost surely, 2642267400 is an apocalyptic number.

It is an amenable number.

642267400 is an abundant number, since it is smaller than the sum of its proper divisors (852966140).

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

642267400 is a wasteful number, since it uses less digits than its factorization.

642267400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4234 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 642267400 is about 25342.9950874004. The cubic root of 642267400 is about 862.7903776180.

The spelling of 642267400 in words is "six hundred forty-two million, two hundred sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 997 1994 3221 3988 4985 6442 7976 9970 12884 16105 19940 24925 25768 32210 39880 49850 64420 80525 99700 128840 161050 199400 322100 644200 3211337 6422674 12845348 16056685 25690696 32113370 64226740 80283425 128453480 160566850 321133700 642267400