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28501434 = 232133492
BaseRepresentation
bin110110010111…
…0010110111010
31222122000121200
41230232112322
524244021214
62454515030
7464154363
oct154562672
958560550
1028501434
11150a7605
129665a76
135b9bb70
143adcb6a
15277ed09
hex1b2e5ba

28501434 has 36 divisors (see below), whose sum is σ = 66694446. Its totient is φ = 8744544.

The previous prime is 28501427. The next prime is 28501511. The reversal of 28501434 is 43410582.

It can be written as a sum of positive squares in 3 ways, for example, as 25250625 + 3250809 = 5025^2 + 1803^2 .

It is a junction number, because it is equal to n+sod(n) for n = 28501398 and 28501407.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81492 + ... + 81840.

Almost surely, 228501434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28501434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33347223).

28501434 is an abundant number, since it is smaller than the sum of its proper divisors (38193012).

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

28501434 is a wasteful number, since it uses less digits than its factorization.

28501434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 28501434 is about 5338.6734307316. The cubic root of 28501434 is about 305.4608602107.

The spelling of 28501434 in words is "twenty-eight million, five hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 349 698 1047 2094 3141 4537 6282 9074 13611 27222 40833 81666 121801 243602 365403 730806 1096209 1583413 2192418 3166826 4750239 9500478 14250717 28501434