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145253344 = 2529193811
BaseRepresentation
bin10001010100001…
…10001111100000
3101010022122010111
420222012033200
5244141101334
622225141104
73412430065
oct1052061740
9333278114
10145253344
1174a9aa95
124078a794
1324129532
1415410c6c
15cb43064
hex8a863e0

145253344 has 48 divisors (see below), whose sum is σ = 297727920. Its totient is φ = 69672960.

The previous prime is 145253341. The next prime is 145253357. The reversal of 145253344 is 443352541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145253341) 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, 178699 + ... + 179509.

It is an arithmetic number, because the mean of its divisors is an integer number (6202665).

Almost surely, 2145253344 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 145253344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148863960).

145253344 is an abundant number, since it is smaller than the sum of its proper divisors (152474576).

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

145253344 is a wasteful number, since it uses less digits than its factorization.

145253344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its digits is 28800, while the sum is 31.

The square root of 145253344 is about 12052.1095248923. The cubic root of 145253344 is about 525.6645781834.

The spelling of 145253344 in words is "one hundred forty-five million, two hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 193 232 386 464 772 811 928 1544 1622 3088 3244 5597 6176 6488 11194 12976 22388 23519 25952 44776 47038 89552 94076 156523 179104 188152 313046 376304 626092 752608 1252184 2504368 4539167 5008736 9078334 18156668 36313336 72626672 145253344