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145656928 = 2541671657
BaseRepresentation
bin10001010111010…
…00110001100000
3101011002010202001
420223220301200
5244242010203
622241533344
73416030524
oct1053506140
9334063661
10145656928
117524622a
1240944254
132423b141
14154b7d84
15cbc291d
hex8ae8c60

145656928 has 48 divisors (see below), whose sum is σ = 298320624. Its totient is φ = 69949440.

The previous prime is 145656923. The next prime is 145656943. The reversal of 145656928 is 829656541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145656923) 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 7 ways as a sum of consecutive naturals, for example, 87076 + ... + 88732.

It is an arithmetic number, because the mean of its divisors is an integer number (6215013).

Almost surely, 2145656928 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 145656928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149160312).

145656928 is an abundant number, since it is smaller than the sum of its proper divisors (152663696).

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

145656928 is a wasteful number, since it uses less digits than its factorization.

145656928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1767 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The square root of 145656928 is about 12068.8412036947. The cubic root of 145656928 is about 526.1509780719.

The spelling of 145656928 in words is "one hundred forty-five million, six hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 41 67 82 134 164 268 328 536 656 1072 1312 1657 2144 2747 3314 5494 6628 10988 13256 21976 26512 43952 53024 67937 87904 111019 135874 222038 271748 444076 543496 888152 1086992 1776304 2173984 3552608 4551779 9103558 18207116 36414232 72828464 145656928