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145267992 = 23341713187
BaseRepresentation
bin10001010100010…
…01110100011000
3101010100101020000
420222021310120
5244142033432
622225333000
73412520562
oct1052116430
9333311200
10145267992
1174aaaaa1
1240797160
13241330bc
1415416332
15cb4757c
hex8a89d18

145267992 has 80 divisors (see below), whose sum is σ = 430851960. Its totient is φ = 45570816.

The previous prime is 145267981. The next prime is 145267999. The reversal of 145267992 is 299762541.

It is a super-2 number, since 2×1452679922 = 42205578999424128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145267999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4423 + ... + 17609.

Almost surely, 2145267992 is an apocalyptic number.

145267992 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 145267992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215425980).

145267992 is an abundant number, since it is smaller than the sum of its proper divisors (285583968).

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

145267992 is a wasteful number, since it uses less digits than its factorization.

145267992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13222 (or 13209 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 145267992 is about 12052.7172040167. The cubic root of 145267992 is about 525.6822477156.

The spelling of 145267992 in words is "one hundred forty-five million, two hundred sixty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 13187 26374 39561 52748 79122 105496 118683 158244 224179 237366 316488 356049 448358 474732 672537 712098 896716 949464 1068147 1345074 1424196 1793432 2017611 2136294 2690148 2848392 4035222 4272588 5380296 6052833 8070444 8545176 12105666 16140888 18158499 24211332 36316998 48422664 72633996 145267992