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145569248 = 25113711177
BaseRepresentation
bin10001010110100…
…11010111100000
3101010220200110122
420223103113200
5244231203443
622240015412
73415214066
oct1053232740
9333820418
10145569248
1175196370
1240901568
132420a266
1415494036
15cba6968
hex8ad35e0

145569248 has 48 divisors (see below), whose sum is σ = 321121584. Its totient is φ = 64373760.

The previous prime is 145569239. The next prime is 145569251. The reversal of 145569248 is 842965541.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 145569199 and 145569208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7436 + ... + 18612.

It is an arithmetic number, because the mean of its divisors is an integer number (6690033).

Almost surely, 2145569248 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 145569248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160560792).

145569248 is an abundant number, since it is smaller than the sum of its proper divisors (175552336).

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

145569248 is a wasteful number, since it uses less digits than its factorization.

145569248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11227 counting only the distinct ones).

The product of its digits is 345600, while the sum is 44.

The square root of 145569248 is about 12065.2081623153. The cubic root of 145569248 is about 526.0453825051.

The spelling of 145569248 in words is "one hundred forty-five million, five hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 74 88 148 176 296 352 407 592 814 1184 1628 3256 6512 11177 13024 22354 44708 89416 122947 178832 245894 357664 413549 491788 827098 983576 1654196 1967152 3308392 3934304 4549039 6616784 9098078 13233568 18196156 36392312 72784624 145569248