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145803456 = 263384377
BaseRepresentation
bin10001011000011…
…00100011000000
3101011100120202000
420230030203000
5244311202311
622245024000
73420210651
oct1054144300
9334316660
10145803456
1175336327
12409b5000
132428ca46
1415515528
15cc01056
hex8b0c8c0

145803456 has 56 divisors (see below), whose sum is σ = 428640240. Its totient is φ = 48600576.

The previous prime is 145803433. The next prime is 145803467. The reversal of 145803456 is 654308541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 145803456.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40461 + ... + 43916.

It is an arithmetic number, because the mean of its divisors is an integer number (7654290).

Almost surely, 2145803456 is an apocalyptic number.

145803456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145803456 is an abundant number, since it is smaller than the sum of its proper divisors (282836784).

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

145803456 is an equidigital number, since it uses as much as digits as its factorization.

145803456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84398 (or 84382 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 145803456 is about 12074.9101860014. The cubic root of 145803456 is about 526.3273514485.

The spelling of 145803456 in words is "one hundred forty-five million, eight hundred three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 84377 168754 253131 337508 506262 675016 759393 1012524 1350032 1518786 2025048 2278179 2700064 3037572 4050096 4556358 5400128 6075144 8100192 9112716 12150288 16200384 18225432 24300576 36450864 48601152 72901728 145803456