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145052964 = 22337313613
BaseRepresentation
bin10001010010101…
…01010100100100
3101002221110021000
420221111110210
5244113143324
622220553300
73410633640
oct1051252444
9332843230
10145052964
1174973491
12406b2830
1324089274
141539bc20
15cb039c9
hex8a55524

145052964 has 96 divisors (see below), whose sum is σ = 431863040. Its totient is φ = 41243904.

The previous prime is 145052939. The next prime is 145052977. The reversal of 145052964 is 469250541.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236322 + ... + 236934.

Almost surely, 2145052964 is an apocalyptic number.

145052964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145052964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215931520).

145052964 is an abundant number, since it is smaller than the sum of its proper divisors (286810076).

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

145052964 is a wasteful number, since it uses less digits than its factorization.

145052964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 145052964 is about 12043.7935884006. The cubic root of 145052964 is about 525.4227452162.

Subtracting from 145052964 its product of nonzero digits (43200), we obtain a square (145009764 = 120422).

The spelling of 145052964 in words is "one hundred forty-five million, fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 313 378 613 626 756 939 1226 1252 1839 1878 2191 2452 2817 3678 3756 4291 4382 5517 5634 6573 7356 8451 8582 8764 11034 11268 12873 13146 16551 16902 17164 19719 22068 25746 26292 33102 33804 38619 39438 51492 59157 66204 77238 78876 115857 118314 154476 191869 231714 236628 383738 463428 575607 767476 1151214 1343083 1726821 2302428 2686166 3453642 4029249 5180463 5372332 6907284 8058498 10360926 12087747 16116996 20721852 24175494 36263241 48350988 72526482 145052964