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145287456 = 2533740903
BaseRepresentation
bin10001010100011…
…10100100100000
3101010101100220220
420222032210200
5244143144311
622230003040
73412631406
oct1052164440
9333340826
10145287456
1175013686
12407a6480
132413bc12
141541d476
15cb4d206
hex8a8e920

145287456 has 48 divisors (see below), whose sum is σ = 391696704. Its totient is φ = 47119104.

The previous prime is 145287451. The next prime is 145287479. The reversal of 145287456 is 654782541.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1452874562 = 42216889741903872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145287451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16900 + ... + 24003.

It is an arithmetic number, because the mean of its divisors is an integer number (8160348).

Almost surely, 2145287456 is an apocalyptic number.

145287456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145287456 is an abundant number, since it is smaller than the sum of its proper divisors (246409248).

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

145287456 is a wasteful number, since it uses less digits than its factorization.

145287456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40953 (or 40945 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 145287456 is about 12053.5246297504. The cubic root of 145287456 is about 525.7057248358.

The spelling of 145287456 in words is "one hundred forty-five million, two hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 40903 81806 122709 163612 245418 327224 490836 654448 981672 1308896 1513411 1963344 3026822 3926688 4540233 6053644 9080466 12107288 18160932 24214576 36321864 48429152 72643728 145287456