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1490872032 = 253213230631
BaseRepresentation
bin101100011011100…
…1110011011100000
310211220100010221200
41120313032123200
511023130401112
6403534321200
751642126456
oct13067163340
93756303850
101490872032
116a5616251
12357359200
131a9b47600
141020089d6
158ad44cdc
hex58dce6e0

1490872032 has 108 divisors (see below), whose sum is σ = 4591032264. Its totient is φ = 458714880.

The previous prime is 1490872027. The next prime is 1490872039. The reversal of 1490872032 is 2302780941.

1490872032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1490872039) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33357 + ... + 63987.

It is an arithmetic number, because the mean of its divisors is an integer number (42509558).

Almost surely, 21490872032 is an apocalyptic number.

1490872032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1490872032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295516132).

1490872032 is an abundant number, since it is smaller than the sum of its proper divisors (3100160232).

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

1490872032 is a wasteful number, since it uses less digits than its factorization.

1490872032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30673 (or 30649 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1490872032 is about 38611.8120786891. The cubic root of 1490872032 is about 1142.3875354665.

The spelling of 1490872032 in words is "one billion, four hundred ninety million, eight hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 169 208 234 288 312 338 416 468 507 624 676 936 1014 1248 1352 1521 1872 2028 2704 3042 3744 4056 5408 6084 8112 12168 16224 24336 30631 48672 61262 91893 122524 183786 245048 275679 367572 398203 490096 551358 735144 796406 980192 1102716 1194609 1470288 1592812 2205432 2389218 2940576 3185624 3583827 4410864 4778436 5176639 6371248 7167654 8821728 9556872 10353278 12742496 14335308 15529917 19113744 20706556 28670616 31059834 38227488 41413112 46589751 57341232 62119668 82826224 93179502 114682464 124239336 165652448 186359004 248478672 372718008 496957344 745436016 1490872032