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144791864 = 2372431857
BaseRepresentation
bin10001010000101…
…01100100111000
3101002110012002122
420220111210320
5244031314424
622211220412
73405465500
oct1050254470
9332405078
10144791864
11748052a8
12405a7708
1323cc7479
1415330a00
15caa145e
hex8a15938

144791864 has 48 divisors (see below), whose sum is σ = 316910880. Its totient is φ = 61837440.

The previous prime is 144791851. The next prime is 144791897. The reversal of 144791864 is 468197441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 168524 + ... + 169380.

It is an arithmetic number, because the mean of its divisors is an integer number (6602310).

Almost surely, 2144791864 is an apocalyptic number.

144791864 is a gapful number since it is divisible by the number (14) 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 144791864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158455440).

144791864 is an abundant number, since it is smaller than the sum of its proper divisors (172119016).

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

144791864 is a wasteful number, since it uses less digits than its factorization.

144791864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its digits is 193536, while the sum is 44.

The square root of 144791864 is about 12032.9490982053. The cubic root of 144791864 is about 525.1072965883.

The spelling of 144791864 in words is "one hundred forty-four million, seven hundred ninety-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 431 857 862 1714 1724 3017 3428 3448 5999 6034 6856 11998 12068 21119 23996 24136 41993 42238 47992 83986 84476 167972 168952 335944 369367 738734 1477468 2585569 2954936 5171138 10342276 18098983 20684552 36197966 72395932 144791864