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145358532 = 223211593619
BaseRepresentation
bin10001010100111…
…11111011000100
3101010111222102100
420222133323010
5244202433112
622231312100
73413345544
oct1052377304
9333458370
10145358532
1175062020
124081b630
1324165387
141543b324
15cb642dc
hex8a9fec4

145358532 has 72 divisors (see below), whose sum is σ = 402161760. Its totient is φ = 43902720.

The previous prime is 145358519. The next prime is 145358557. The reversal of 145358532 is 235853541.

145358532 is a `hidden beast` number, since 1 + 45 + 3 + 585 + 32 = 666.

It is a super-2 number, since 2×1453585322 = 42258205650390048, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234519 + ... + 235137.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2145358532 is an apocalyptic number.

145358532 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 145358532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201080880).

145358532 is an abundant number, since it is smaller than the sum of its proper divisors (256803228).

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

145358532 is a wasteful number, since it uses less digits than its factorization.

145358532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1228 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 145358532 is about 12056.4726184734. The cubic root of 145358532 is about 525.7914376007.

The spelling of 145358532 in words is "one hundred forty-five million, three hundred fifty-eight thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 593 619 1186 1238 1779 1857 2372 2476 3558 3714 5337 5571 6523 6809 7116 7428 10674 11142 13046 13618 19569 20427 21348 22284 26092 27236 39138 40854 58707 61281 78276 81708 117414 122562 234828 245124 367067 734134 1101201 1468268 2202402 3303603 4037737 4404804 6607206 8075474 12113211 13214412 16150948 24226422 36339633 48452844 72679266 145358532