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1457428590 = 232535934507
BaseRepresentation
bin101011011011110…
…1001100001101110
310202120102001011200
41112313221201232
510441100203330
6400341430330
751054636642
oct12667514156
93676361150
101457428590
11688753742
1234810b3a6
131a2c381a7
14db7c0c22
1587e3aa60
hex56de986e

1457428590 has 48 divisors (see below), whose sum is σ = 3791209968. Its totient is φ = 388453248.

The previous prime is 1457428571. The next prime is 1457428597. The reversal of 1457428590 is 958247541.

1457428590 is a `hidden beast` number, since 1 + 4 + 57 + 4 + 2 + 8 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457428597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321117 + ... + 325623.

It is an arithmetic number, because the mean of its divisors is an integer number (78983541).

Almost surely, 21457428590 is an apocalyptic number.

1457428590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1457428590 is an abundant number, since it is smaller than the sum of its proper divisors (2333781378).

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

1457428590 is a wasteful number, since it uses less digits than its factorization.

1457428590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8113 (or 8110 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1457428590 is about 38176.2830825632. The cubic root of 1457428590 is about 1133.7807914984.

The spelling of 1457428590 in words is "one billion, four hundred fifty-seven million, four hundred twenty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3593 4507 7186 9014 10779 13521 17965 21558 22535 27042 32337 35930 40563 45070 53895 64674 67605 81126 107790 135210 161685 202815 323370 405630 16193651 32387302 48580953 80968255 97161906 145742859 161936510 242904765 291485718 485809530 728714295 1457428590