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145846932 = 223721122549
BaseRepresentation
bin10001011000101…
…11001010010100
3101011102210101020
420230113022110
5244314100212
622250001140
73420451500
oct1054271224
9334383336
10145846932
1175365a60
1240a161b0
13242a677a
1415527300
15cc0dd8c
hex8b17294

145846932 has 72 divisors (see below), whose sum is σ = 431877600. Its totient is φ = 37880640.

The previous prime is 145846931. The next prime is 145846949. The reversal of 145846932 is 239648541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145846931) 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, 4807 + ... + 17742.

It is an arithmetic number, because the mean of its divisors is an integer number (5998300).

Almost surely, 2145846932 is an apocalyptic number.

145846932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145846932 is an abundant number, since it is smaller than the sum of its proper divisors (286030668).

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

145846932 is a wasteful number, since it uses less digits than its factorization.

145846932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22581 (or 22572 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 145846932 is about 12076.7103136574. The cubic root of 145846932 is about 526.3796600712.

The spelling of 145846932 in words is "one hundred forty-five million, eight hundred forty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 132 147 154 196 231 294 308 462 539 588 924 1078 1617 2156 3234 6468 22549 45098 67647 90196 135294 157843 248039 270588 315686 473529 496078 631372 744117 947058 992156 1104901 1488234 1736273 1894116 2209802 2976468 3314703 3472546 4419604 5208819 6629406 6945092 10417638 12153911 13258812 20835276 24307822 36461733 48615644 72923466 145846932