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145582956 = 22325477393
BaseRepresentation
bin10001010110101…
…10101101101100
3101010221101021100
420223112231230
5244232123311
622240203100
73415302051
oct1053265554
9333841240
10145582956
11751a56a2
1240909490
132421357c
1415499028
15cbaaa56
hex8ad6b6c

145582956 has 36 divisors (see below), whose sum is σ = 368723992. Its totient is φ = 48432384.

The previous prime is 145582933. The next prime is 145582963. The reversal of 145582956 is 659285541.

145582956 is a `hidden beast` number, since 1 + 4 + 558 + 2 + 95 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15996 + ... + 23388.

Almost surely, 2145582956 is an apocalyptic number.

It is an amenable number.

145582956 is an abundant number, since it is smaller than the sum of its proper divisors (223141036).

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

145582956 is a wasteful number, since it uses less digits than its factorization.

145582956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950 (or 7945 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 145582956 is about 12065.7762286560. The cubic root of 145582956 is about 526.0618942429.

The spelling of 145582956 in words is "one hundred forty-five million, five hundred eighty-two thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 547 1094 1641 2188 3282 4923 6564 7393 9846 14786 19692 22179 29572 44358 66537 88716 133074 266148 4043971 8087942 12131913 16175884 24263826 36395739 48527652 72791478 145582956