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428026725 = 32527359757
BaseRepresentation
bin11001100000110…
…010101101100101
31002211102000021200
4121200302231211
51334033323400
6110250033113
713415111220
oct3140625545
91084360250
10428026725
111aa6788a5
12bb418799
136a8a5369
1440bbc5b7
152789cb00
hex19832b65

428026725 has 72 divisors (see below), whose sum is σ = 879765120. Its totient is φ = 194866560.

The previous prime is 428026723. The next prime is 428026727. The reversal of 428026725 is 527620824.

It is an interprime number because it is at equal distance from previous prime (428026723) and next prime (428026727).

It is not a de Polignac number, because 428026725 - 21 = 428026723 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 428026725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428026723) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 565047 + ... + 565803.

It is an arithmetic number, because the mean of its divisors is an integer number (12218960).

Almost surely, 2428026725 is an apocalyptic number.

428026725 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

428026725 is an abundant number, since it is smaller than the sum of its proper divisors (451738395).

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

428026725 is a wasteful number, since it uses less digits than its factorization.

428026725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 428026725 is about 20688.8067563115. The cubic root of 428026725 is about 753.6278895939.

The spelling of 428026725 in words is "four hundred twenty-eight million, twenty-six thousand, seven hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 359 525 757 1077 1575 1795 2271 2513 3231 3785 5299 5385 6813 7539 8975 11355 12565 15897 16155 18925 22617 26495 26925 34065 37695 47691 56775 62825 79485 80775 113085 132475 170325 188475 238455 271763 397425 565425 815289 1192275 1358815 1902341 2445867 4076445 5707023 6794075 9511705 12229335 17121069 20382225 28535115 47558525 61146675 85605345 142675575 428026725