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432290896 = 2453612137
BaseRepresentation
bin11001110001000…
…011110001010000
31010010102122121221
4121301003301100
51341131302041
6110521254424
713466261212
oct3161036120
91103378557
10432290896
11202020604
12100934414
136b73923b
14415ac5b2
1527e412d1
hex19c43c50

432290896 has 60 divisors (see below), whose sum is σ = 873918396. Its totient is φ = 207068160.

The previous prime is 432290861. The next prime is 432290899. The reversal of 432290896 is 698092234.

It can be written as a sum of positive squares in 6 ways, for example, as 80353296 + 351937600 = 8964^2 + 18760^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432290899) 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, 3155340 + ... + 3155476.

Almost surely, 2432290896 is an apocalyptic number.

It is an amenable number.

432290896 is an abundant number, since it is smaller than the sum of its proper divisors (441627500).

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

432290896 is a wasteful number, since it uses less digits than its factorization.

432290896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 432290896 is about 20791.6063833461. The cubic root of 432290896 is about 756.1222705664.

The spelling of 432290896 in words is "four hundred thirty-two million, two hundred ninety thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 53 61 106 122 137 212 244 274 424 488 548 848 976 1096 2192 3233 3721 6466 7261 7442 8357 12932 14522 14884 16714 25864 29044 29768 33428 51728 58088 59536 66856 116176 133712 197213 394426 442921 509777 788852 885842 1019554 1577704 1771684 2039108 3155408 3543368 4078216 7086736 8156432 27018181 54036362 108072724 216145448 432290896