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147743464 = 231117611619
BaseRepresentation
bin10001100111001…
…10001011101000
3101022000010221011
420303212023220
5300310242324
622354353304
73442540651
oct1063461350
9338003834
10147743464
1176440940
124158b834
13247bba8b
141589c528
15ce85c94
hex8ce62e8

147743464 has 64 divisors (see below), whose sum is σ = 325425600. Its totient is φ = 62131200.

The previous prime is 147743441. The next prime is 147743473. The reversal of 147743464 is 464347741.

It is a happy number.

It is a super-3 number, since 3×1477434643 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90447 + ... + 92065.

It is an arithmetic number, because the mean of its divisors is an integer number (5084775).

Almost surely, 2147743464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147743464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162712800).

147743464 is an abundant number, since it is smaller than the sum of its proper divisors (177682136).

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

147743464 is a wasteful number, since it uses less digits than its factorization.

147743464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1710 counting only the distinct ones).

The product of its digits is 225792, while the sum is 40.

The square root of 147743464 is about 12154.9769230550. The cubic root of 147743464 is about 528.6514475954.

The spelling of 147743464 in words is "one hundred forty-seven million, seven hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 17 22 34 44 61 68 88 122 136 187 244 374 488 671 748 1037 1342 1496 1619 2074 2684 3238 4148 5368 6476 8296 11407 12952 17809 22814 27523 35618 45628 55046 71236 91256 98759 110092 142472 197518 220184 302753 395036 605506 790072 1086349 1211012 1678903 2172698 2422024 3357806 4345396 6715612 8690792 13431224 18467933 36935866 73871732 147743464