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402052644 = 2232721132017
BaseRepresentation
bin10111111101101…
…101011000100100
31001000112101112200
4113331231120210
51310411141034
6103521214500
712651251100
oct2775553044
91030471480
10402052644
11196a48114
12b2791430
13653ac996
143b57a900
152546ba99
hex17f6d624

402052644 has 108 divisors (see below), whose sum is σ = 1193279724. Its totient is φ = 113799168.

The previous prime is 402052633. The next prime is 402052649. The reversal of 402052644 is 446250204.

It can be written as a sum of positive squares in 2 ways, for example, as 147331044 + 254721600 = 12138^2 + 15960^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (402052649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198324 + ... + 200340.

Almost surely, 2402052644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402052644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596639862).

402052644 is an abundant number, since it is smaller than the sum of its proper divisors (791227080).

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

402052644 is a wasteful number, since it uses less digits than its factorization.

402052644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 402052644 is about 20051.2504348233. The cubic root of 402052644 is about 738.0644841973.

It can be divided in two parts, 40205 and 2644, that added together give a square (42849 = 2072).

The spelling of 402052644 in words is "four hundred two million, fifty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 113 126 147 196 226 252 294 339 441 452 588 678 791 882 1017 1356 1582 1764 2017 2034 2373 3164 4034 4068 4746 5537 6051 7119 8068 9492 11074 12102 14119 14238 16611 18153 22148 24204 28238 28476 33222 36306 42357 49833 56476 66444 72612 84714 98833 99666 127071 169428 197666 199332 227921 254142 296499 395332 455842 508284 592998 683763 889497 911684 1185996 1367526 1595447 1778994 2051289 2735052 3190894 3557988 4102578 4786341 6381788 8205156 9572682 11168129 14359023 19145364 22336258 28718046 33504387 44672516 57436092 67008774 100513161 134017548 201026322 402052644