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145245912 = 2337311672
BaseRepresentation
bin10001010100001…
…00011011011000
3101010022020221020
420222010123120
5244140332122
622225042440
73412366320
oct1052043330
9333266836
10145245912
1174a95449
1240786420
1324126036
141540c280
15cb40c5c
hex8a846d8

145245912 has 96 divisors (see below), whose sum is σ = 430955520. Its totient is φ = 39919680.

The previous prime is 145245911. The next prime is 145245923. The reversal of 145245912 is 219542541.

It is a super-5 number, since 5×1452459125 (a number of 42 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145245911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 869653 + ... + 869819.

It is an arithmetic number, because the mean of its divisors is an integer number (4489120).

Almost surely, 2145245912 is an apocalyptic number.

145245912 is a gapful number since it is divisible by the number (12) 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 145245912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215477760).

145245912 is an abundant number, since it is smaller than the sum of its proper divisors (285709608).

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

145245912 is a wasteful number, since it uses less digits than its factorization.

145245912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 210 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 145245912 is about 12051.8011931827. The cubic root of 145245912 is about 525.6556126852.

The spelling of 145245912 in words is "one hundred forty-five million, two hundred forty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 167 168 186 217 248 334 372 434 501 651 668 744 868 1002 1169 1302 1336 1736 2004 2338 2604 3507 4008 4676 5177 5208 7014 9352 10354 14028 15531 20708 27889 28056 31062 36239 41416 55778 62124 72478 83667 108717 111556 124248 144956 167334 195223 217434 223112 289912 334668 390446 434868 585669 669336 780892 864559 869736 1171338 1561784 1729118 2342676 2593677 3458236 4685352 5187354 6051913 6916472 10374708 12103826 18155739 20749416 24207652 36311478 48415304 72622956 145245912