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483429128 = 23713312691
BaseRepresentation
bin11100110100001…
…000101100001000
31020200122202002112
4130310020230020
51442224213003
6115545321452
714660036240
oct3464105410
91220582075
10483429128
11228979506
12115a96288
1379202750
14482c0b20
152c6933d8
hex1cd08b08

483429128 has 96 divisors (see below), whose sum is σ = 1154422080. Its totient is φ = 184809600.

The previous prime is 483429049. The next prime is 483429139. The reversal of 483429128 is 821924384.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 699263 + ... + 699953.

It is an arithmetic number, because the mean of its divisors is an integer number (12025230).

Almost surely, 2483429128 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 483429128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577211040).

483429128 is an abundant number, since it is smaller than the sum of its proper divisors (670992952).

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

483429128 is a wasteful number, since it uses less digits than its factorization.

483429128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 744 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 483429128 is about 21987.0218083305. The cubic root of 483429128 is about 784.8336310176.

The spelling of 483429128 in words is "four hundred eighty-three million, four hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 182 217 248 364 403 434 691 728 806 868 961 1382 1612 1736 1922 2764 2821 3224 3844 4837 5528 5642 6727 7688 8983 9674 11284 12493 13454 17966 19348 21421 22568 24986 26908 35932 38696 42842 49972 53816 62881 71864 85684 87451 99944 125762 149947 171368 174902 251524 278473 299894 349804 503048 556946 599788 664051 699608 1113892 1199576 1328102 1949311 2227784 2656204 3898622 4648357 5312408 7797244 8632663 9296714 15594488 17265326 18593428 34530652 37186856 60428641 69061304 120857282 241714564 483429128