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145044288 = 2632318123
BaseRepresentation
bin10001010010100…
…11001101000000
3101002221000100200
420221103031000
5244112404123
622220445200
73410566434
oct1051231500
9332830320
10145044288
1174967a14
12406a9800
132408532c
14153989c4
15cb01143
hex8a53340

145044288 has 84 divisors (see below), whose sum is σ = 429207168. Its totient is φ = 46782720.

The previous prime is 145044259. The next prime is 145044311. The reversal of 145044288 is 882440541.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13795 + ... + 21917.

Almost surely, 2145044288 is an apocalyptic number.

145044288 is a gapful number since it is divisible by the number (18) 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 145044288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214603584).

145044288 is an abundant number, since it is smaller than the sum of its proper divisors (284162880).

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

145044288 is a wasteful number, since it uses less digits than its factorization.

145044288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8172 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 145044288 is about 12043.4333974992. The cubic root of 145044288 is about 525.4122693677.

The spelling of 145044288 in words is "one hundred forty-five million, forty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 4464 5952 8123 8928 16246 17856 24369 32492 48738 64984 73107 97476 129968 146214 194952 251813 259936 292428 389904 503626 519872 584856 755439 779808 1007252 1169712 1510878 1559616 2014504 2266317 2339424 3021756 4029008 4532634 4678848 6043512 8058016 9065268 12087024 16116032 18130536 24174048 36261072 48348096 72522144 145044288