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45431004 = 22317792819
BaseRepresentation
bin1010110101001…
…1100011011100
310011111010121210
42231103203130
543112243004
64301424420
71061104623
oct255234334
9104433553
1045431004
112370aa93
121326b110
139548868
1460686ba
153ec6089
hex2b538dc

45431004 has 48 divisors (see below), whose sum is σ = 113702400. Its totient is φ = 14067456.

The previous prime is 45430997. The next prime is 45431041. The reversal of 45431004 is 40013454.

It is a super-2 number, since 2×454310042 = 4127952248896032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14707 + ... + 17525.

It is an arithmetic number, because the mean of its divisors is an integer number (2368800).

Almost surely, 245431004 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 45431004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56851200).

45431004 is an abundant number, since it is smaller than the sum of its proper divisors (68271396).

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

45431004 is a wasteful number, since it uses less digits than its factorization.

45431004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 45431004 is about 6740.2525175248. The cubic root of 45431004 is about 356.8213057954.

Adding to 45431004 its reverse (40013454), we get a palindrome (85444458).

The spelling of 45431004 in words is "forty-five million, four hundred thirty-one thousand, four".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 2819 4029 5372 5638 8058 8457 11276 16116 16914 33828 47923 95846 143769 191692 222701 287538 445402 575076 668103 890804 1336206 2672412 3785917 7571834 11357751 15143668 22715502 45431004