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427953144 = 233144712323
BaseRepresentation
bin11001100000100…
…000101111111000
31002211021021100110
4121200200233320
51334024000034
6110244304320
713414353543
oct3140405770
91084237313
10427953144
111aa628593
12bb3a20a0
136a87aa18
1440b9d85a
1527885de9
hex19820bf8

427953144 has 32 divisors (see below), whose sum is σ = 1070709120. Its totient is φ = 142540896.

The previous prime is 427953143. The next prime is 427953193. The reversal of 427953144 is 441359724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427953143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28567 + ... + 40889.

It is an arithmetic number, because the mean of its divisors is an integer number (33459660).

Almost surely, 2427953144 is an apocalyptic number.

It is an amenable number.

427953144 is an abundant number, since it is smaller than the sum of its proper divisors (642755976).

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

427953144 is a wasteful number, since it uses less digits than its factorization.

427953144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13779 (or 13775 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 427953144 is about 20687.0283994584. The cubic root of 427953144 is about 753.5847023594.

The spelling of 427953144 in words is "four hundred twenty-seven million, nine hundred fifty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1447 2894 4341 5788 8682 11576 12323 17364 24646 34728 36969 49292 73938 98584 147876 295752 17831381 35662762 53494143 71325524 106988286 142651048 213976572 427953144