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441929144 = 231729891259
BaseRepresentation
bin11010010101110…
…100110110111000
31010210120022211002
4122111310312320
51401113213034
6111504024132
713644223106
oct3225646670
91123508732
10441929144
112075039a8
12104002048
1370732247
144299ac76
1528be6e7e
hex1a574db8

441929144 has 64 divisors (see below), whose sum is σ = 918540000. Its totient is φ = 198381568.

The previous prime is 441929143. The next prime is 441929167.

441929144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441929098 and 441929107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441929141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350387 + ... + 351645.

Almost surely, 2441929144 is an apocalyptic number.

It is an amenable number.

441929144 is an abundant number, since it is smaller than the sum of its proper divisors (476610856).

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

441929144 is a wasteful number, since it uses less digits than its factorization.

441929144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1396 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 441929144 is about 21022.1108359746. The cubic root of 441929144 is about 761.7004538115.

The spelling of 441929144 in words is "four hundred forty-one million, nine hundred twenty-nine thousand, one hundred forty-four".

Divisors: 1 2 4 8 17 29 34 58 68 89 116 136 178 232 356 493 712 986 1259 1513 1972 2518 2581 3026 3944 5036 5162 6052 10072 10324 12104 20648 21403 36511 42806 43877 73022 85612 87754 112051 146044 171224 175508 224102 292088 351016 448204 620687 896408 1241374 1904867 2482748 3249479 3809734 4965496 6498958 7619468 12997916 15238936 25995832 55241143 110482286 220964572 441929144