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432053664 = 2537642937
BaseRepresentation
bin11001110000001…
…001110110100000
31010002222121012120
4121300021312200
51341101204124
6110512224240
713464252450
oct3160116640
91102877176
10432053664
11201979349
1210083b080
136b685273
1441549d60
1527de5d79
hex19c09da0

432053664 has 48 divisors (see below), whose sum is σ = 1296163008. Its totient is φ = 123443712.

The previous prime is 432053653. The next prime is 432053669. The reversal of 432053664 is 466350234.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (432053669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320797 + ... + 322140.

It is an arithmetic number, because the mean of its divisors is an integer number (27003396).

Almost surely, 2432053664 is an apocalyptic number.

It is an amenable number.

432053664 is an abundant number, since it is smaller than the sum of its proper divisors (864109344).

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

432053664 is a wasteful number, since it uses less digits than its factorization.

432053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642957 (or 642949 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 432053664 is about 20785.9006059396. The cubic root of 432053664 is about 755.9839306794.

The spelling of 432053664 in words is "four hundred thirty-two million, fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 642937 1285874 1928811 2571748 3857622 4500559 5143496 7715244 9001118 10286992 13501677 15430488 18002236 20573984 27003354 30860976 36004472 54006708 61721952 72008944 108013416 144017888 216026832 432053664