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437944242 = 231722379139
BaseRepresentation
bin11010000110100…
…111111110110010
31010112001212120010
4122012213332302
51344103203432
6111242355350
713565315241
oct3206477662
91115055503
10437944242
11205231a9a
121027bbb56
136c968508
1442240958
15286ab3cc
hex1a1a7fb2

437944242 has 96 divisors (see below), whose sum is σ = 990259200. Its totient is φ = 128823552.

The previous prime is 437944231. The next prime is 437944277. The reversal of 437944242 is 242449734.

It is a self number, because there is not a number n which added to its sum of digits gives 437944242.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3150609 + ... + 3150747.

It is an arithmetic number, because the mean of its divisors is an integer number (10315200).

Almost surely, 2437944242 is an apocalyptic number.

437944242 is an abundant number, since it is smaller than the sum of its proper divisors (552314958).

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

437944242 is a wasteful number, since it uses less digits than its factorization.

437944242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its digits is 193536, while the sum is 39.

The square root of 437944242 is about 20927.1173839112. The cubic root of 437944242 is about 759.4041046881.

The spelling of 437944242 in words is "four hundred thirty-seven million, nine hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 17 23 34 46 51 69 79 102 138 139 158 237 278 289 391 417 474 578 782 834 867 1173 1343 1734 1817 2346 2363 2686 3197 3634 4029 4726 5451 6394 6647 7089 8058 9591 10902 10981 13294 14178 19182 19941 21962 22831 30889 32943 39882 40171 45662 54349 61778 65886 68493 80342 92667 108698 120513 136986 163047 185334 186677 241026 252563 326094 373354 505126 525113 560031 757689 923933 1050226 1120062 1515378 1575339 1847866 2771799 3150678 3173509 4293571 5543598 6347018 8587142 9520527 12880713 19041054 25761426 72990707 145981414 218972121 437944242