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1490269824 = 27328631499
BaseRepresentation
bin101100011010011…
…1011011010000000
310211212012112212200
41120310323122000
511023002113244
6403513353200
751634040661
oct13064733200
93755175780
101490269824
116a524485a
12357108800
131a9996484
14101ccd368
158ac76669
hex58d3b680

1490269824 has 96 divisors (see below), whose sum is σ = 4296240000. Its totient is φ = 495849984.

The previous prime is 1490269819. The next prime is 1490269829. The reversal of 1490269824 is 4289620941.

It is an interprime number because it is at equal distance from previous prime (1490269819) and next prime (1490269829).

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1490269824.

It is not an unprimeable number, because it can be changed into a prime (1490269829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993427 + ... + 994925.

It is an arithmetic number, because the mean of its divisors is an integer number (44752500).

Almost surely, 21490269824 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 1490269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148120000).

1490269824 is an abundant number, since it is smaller than the sum of its proper divisors (2805970176).

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

1490269824 is a wasteful number, since it uses less digits than its factorization.

1490269824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1490269824 is about 38604.0130556397. The cubic root of 1490269824 is about 1142.2336998706.

The spelling of 1490269824 in words is "one billion, four hundred ninety million, two hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 863 1152 1499 1726 2589 2998 3452 4497 5178 5996 6904 7767 8994 10356 11992 13491 13808 15534 17988 20712 23984 26982 27616 31068 35976 41424 47968 53964 55232 62136 71952 82848 95936 107928 110464 124272 143904 165696 191872 215856 248544 287808 331392 431712 497088 575616 863424 994176 1293637 1726848 2587274 3880911 5174548 7761822 10349096 11642733 15523644 20698192 23285466 31047288 41396384 46570932 62094576 82792768 93141864 124189152 165585536 186283728 248378304 372567456 496756608 745134912 1490269824