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145872639 = 321122931149
BaseRepresentation
bin10001011000111…
…01011011111111
3101011111002122100
420230131123333
5244320411024
622250320143
73420616443
oct1054353377
9334432570
10145872639
1175383300
1240a29053
13242b5393
1415532823
15cc167c9
hex8b1d6ff

145872639 has 72 divisors (see below), whose sum is σ = 248976000. Its totient is φ = 82051200.

The previous prime is 145872637. The next prime is 145872653. The reversal of 145872639 is 936278541.

145872639 is a `hidden beast` number, since 1 + 4 + 5 + 8 + 7 + 2 + 639 = 666.

It is not a de Polignac number, because 145872639 - 21 = 145872637 is a prime.

It is a super-4 number, since 4×1458726394 (a number of 34 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145872594 and 145872603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145872637) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 978937 + ... + 979085.

It is an arithmetic number, because the mean of its divisors is an integer number (3458000).

Almost surely, 2145872639 is an apocalyptic number.

145872639 is a deficient number, since it is larger than the sum of its proper divisors (103103361).

145872639 is a wasteful number, since it uses less digits than its factorization.

145872639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 145872639 is about 12077.7745880605. The cubic root of 145872639 is about 526.4105848377.

The spelling of 145872639 in words is "one hundred forty-five million, eight hundred seventy-two thousand, six hundred thirty-nine".

Divisors: 1 3 9 11 29 31 33 87 93 99 121 149 261 279 319 341 363 447 899 957 1023 1089 1341 1639 2697 2871 3069 3509 3751 4321 4619 4917 8091 9889 10527 11253 12963 13857 14751 18029 29667 31581 33759 38889 41571 47531 50809 54087 89001 108779 133951 142593 152427 162261 326337 401853 427779 457281 522841 558899 979011 1205559 1473461 1568523 1676697 4420383 4705569 5030091 13261149 16208071 48624213 145872639