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428947695 = 325114012161
BaseRepresentation
bin11001100100010…
…011100011101111
31002220010210121200
4121210103203233
51334302311240
6110321500543
713425665241
oct3144234357
91086123550
10428947695
11200147830
12bb7a1753
136ab38607
1440d7c091
15279d0930
hex199138ef

428947695 has 48 divisors (see below), whose sum is σ = 813500064. Its totient is φ = 207360000.

The previous prime is 428947691. The next prime is 428947721. The reversal of 428947695 is 596749824.

428947695 is a `hidden beast` number, since 4 + 2 + 89 + 476 + 95 = 666.

It is not a de Polignac number, because 428947695 - 22 = 428947691 is a prime.

It is a super-2 number, since 2×4289476952 = 367992250091626050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428947691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197415 + ... + 199575.

It is an arithmetic number, because the mean of its divisors is an integer number (16947918).

Almost surely, 2428947695 is an apocalyptic number.

428947695 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428947695 is a deficient number, since it is larger than the sum of its proper divisors (384552369).

428947695 is a wasteful number, since it uses less digits than its factorization.

428947695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2581 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 428947695 is about 20711.0524841206. The cubic root of 428947695 is about 754.1680205640.

It can be divided in two parts, 4289 and 47695, that added together give a square (51984 = 2282).

The spelling of 428947695 in words is "four hundred twenty-eight million, nine hundred forty-seven thousand, six hundred ninety-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 401 495 1203 2005 2161 3609 4411 6015 6483 10805 13233 18045 19449 22055 23771 32415 39699 66165 71313 97245 118855 198495 213939 356565 866561 1069695 2599683 4332805 7799049 9532171 12998415 28596513 38995245 47660855 85789539 142982565 428947695