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428296240 = 24521125373
BaseRepresentation
bin11001100001110…
…100100000110000
31002211220200222201
4121201310200300
51334120434430
6110255512544
713420313041
oct3141644060
91084820881
10428296240
111aa842339
12bb528754
136a96ac38
1440c4c8c8
15279028ca
hex19874830

428296240 has 40 divisors (see below), whose sum is σ = 1000547568. Its totient is φ = 170499840.

The previous prime is 428296237. The next prime is 428296243. The reversal of 428296240 is 42692824.

It is an interprime number because it is at equal distance from previous prime (428296237) and next prime (428296243).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 428296240.

It is not an unprimeable number, because it can be changed into a prime (428296243) 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, 4194 + ... + 29566.

Almost surely, 2428296240 is an apocalyptic number.

428296240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428296240 is an abundant number, since it is smaller than the sum of its proper divisors (572251328).

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

428296240 is a wasteful number, since it uses less digits than its factorization.

428296240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25597 (or 25591 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 428296240 is about 20695.3192775565. The cubic root of 428296240 is about 753.7860350182.

The spelling of 428296240 in words is "four hundred twenty-eight million, two hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 211 422 844 1055 1688 2110 3376 4220 8440 16880 25373 50746 101492 126865 202984 253730 405968 507460 1014920 2029840 5353703 10707406 21414812 26768515 42829624 53537030 85659248 107074060 214148120 428296240