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145174464 = 2633292897
BaseRepresentation
bin10001010011100…
…10111111000000
3101010011121221000
420221302333000
5244131040324
622223332000
73411651111
oct1051627700
9333147830
10145174464
1174a467a6
1240751000
13240cc666
14153d0208
15cb299c9
hex8a72fc0

145174464 has 112 divisors (see below), whose sum is σ = 441655200. Its totient is φ = 46706688.

The previous prime is 145174451. The next prime is 145174487. The reversal of 145174464 is 464471541.

It is a happy number.

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

It is a congruent number.

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, 48664 + ... + 51560.

It is an arithmetic number, because the mean of its divisors is an integer number (3943350).

Almost surely, 2145174464 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 145174464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220827600).

145174464 is an abundant number, since it is smaller than the sum of its proper divisors (296480736).

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

145174464 is a wasteful number, since it uses less digits than its factorization.

145174464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2931 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 145174464 is about 12048.8366243385. The cubic root of 145174464 is about 525.5694066970.

It can be divided in two parts, 14517 and 4464, that added together give a palindrome (18981).

The spelling of 145174464 in words is "one hundred forty-five million, one hundred seventy-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 144 174 192 216 232 261 288 348 432 464 522 576 696 783 864 928 1044 1392 1566 1728 1856 2088 2784 2897 3132 4176 5568 5794 6264 8352 8691 11588 12528 16704 17382 23176 25056 26073 34764 46352 50112 52146 69528 78219 84013 92704 104292 139056 156438 168026 185408 208584 252039 278112 312876 336052 417168 504078 556224 625752 672104 756117 834336 1008156 1251504 1344208 1512234 1668672 2016312 2268351 2503008 2688416 3024468 4032624 4536702 5006016 5376832 6048936 8065248 9073404 12097872 16130496 18146808 24195744 36293616 48391488 72587232 145174464