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531969942 = 237193743419
BaseRepresentation
bin11111101101010…
…011011110010110
31101001222212120110
4133231103132112
52042141014232
6124441543450
716116445530
oct3755233626
91331885513
10531969942
11253312989
1212a1a4b86
138629991a
1450918850
1531a80acc
hex1fb53796

531969942 has 128 divisors (see below), whose sum is σ = 1348300800. Its totient is φ = 136515456.

The previous prime is 531969937. The next prime is 531969943. The reversal of 531969942 is 249969135.

It is a junction number, because it is equal to n+sod(n) for n = 531969891 and 531969900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531969943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1269409 + ... + 1269827.

It is an arithmetic number, because the mean of its divisors is an integer number (10533600).

Almost surely, 2531969942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531969942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674150400).

531969942 is an abundant number, since it is smaller than the sum of its proper divisors (816330858).

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

531969942 is a wasteful number, since it uses less digits than its factorization.

531969942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530.

The product of its digits is 524880, while the sum is 48.

The square root of 531969942 is about 23064.4735903510. The cubic root of 531969942 is about 810.2686412702.

The spelling of 531969942 in words is "five hundred thirty-one million, nine hundred sixty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 43 57 74 86 111 114 129 133 222 258 259 266 301 399 419 518 602 703 777 798 817 838 903 1257 1406 1554 1591 1634 1806 2109 2451 2514 2933 3182 4218 4773 4902 4921 5719 5866 7961 8799 9546 9842 11137 11438 14763 15503 15922 17157 17598 18017 22274 23883 29526 30229 31006 33411 34314 36034 46509 47766 54051 55727 60458 66822 90687 93018 108102 108521 111454 126119 167181 181374 211603 217042 252238 294557 325563 334362 342323 378357 423206 589114 634809 651126 666629 684646 756714 883671 1026969 1269618 1333258 1767342 1999887 2053938 2061899 2396261 3999774 4123798 4666403 4792522 6185697 7188783 9332806 12371394 12665951 13999209 14377566 25331902 27998418 37997853 75995706 88661657 177323314 265984971 531969942