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145612464 = 24337163503
BaseRepresentation
bin10001010110111…
…01111010110000
3101010222212202020
420223131322300
5244234044324
622240551440
73415454064
oct1053357260
9333885666
10145612464
1175215888
1240922580
1324223b2a
14154a5aa4
15cbb4679
hex8addeb0

145612464 has 80 divisors (see below), whose sum is σ = 389475072. Its totient is φ = 46842624.

The previous prime is 145612459. The next prime is 145612483. The reversal of 145612464 is 464216541.

145612464 = T2787 + T2788 + ... + T2823.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289237 + ... + 289739.

Almost surely, 2145612464 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 145612464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194737536).

145612464 is an abundant number, since it is smaller than the sum of its proper divisors (243862608).

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

145612464 is a wasteful number, since it uses less digits than its factorization.

145612464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 708 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 145612464 is about 12066.9989641170. The cubic root of 145612464 is about 526.0974340847.

The spelling of 145612464 in words is "one hundred forty-five million, six hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 163 222 296 326 444 489 503 592 652 888 978 1006 1304 1509 1776 1956 2012 2608 3018 3912 4024 6031 6036 7824 8048 12062 12072 18093 18611 24124 24144 36186 37222 48248 55833 72372 74444 81989 96496 111666 144744 148888 163978 223332 245967 289488 297776 327956 446664 491934 655912 893328 983868 1311824 1967736 3033593 3935472 6067186 9100779 12134372 18201558 24268744 36403116 48537488 72806232 145612464