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145408572 = 22324039127
BaseRepresentation
bin10001010101011…
…00001000111100
3101010121112001200
420222230020330
5244211033242
622232335500
73413644461
oct1052541074
9333545050
10145408572
1175096681
1240844590
132418209a
1415451668
15cb7404c
hex8aac23c

145408572 has 18 divisors (see below), whose sum is σ = 367560648. Its totient is φ = 48469512.

The previous prime is 145408561. The next prime is 145408583. The reversal of 145408572 is 275804541.

145408572 is a `hidden beast` number, since 1 + 45 + 40 + 8 + 572 = 666.

It is an interprime number because it is at equal distance from previous prime (145408561) and next prime (145408583).

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1454085722 = 42287305622158368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4039127 = 145408572 / (1 + 4 + 5 + 4 + 0 + 8 + 5 + 7 + 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2019528 + ... + 2019599.

It is an arithmetic number, because the mean of its divisors is an integer number (20420036).

Almost surely, 2145408572 is an apocalyptic number.

145408572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145408572 is an abundant number, since it is smaller than the sum of its proper divisors (222152076).

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

145408572 is a wasteful number, since it uses less digits than its factorization.

145408572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039137 (or 4039132 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145408572 is about 12058.5476737458. The cubic root of 145408572 is about 525.8517656383.

The spelling of 145408572 in words is "one hundred forty-five million, four hundred eight thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 4039127 8078254 12117381 16156508 24234762 36352143 48469524 72704286 145408572