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45982404 = 2236131213
BaseRepresentation
bin1010111101101…
…0001011000100
310012112011000000
42233122023010
543232414104
64321321300
71065562326
oct257321304
9105464000
1045982404
1123a57296
1213496230
1396ac830
14616d616
154084639
hex2bda2c4

45982404 has 84 divisors (see below), whose sum is σ = 130036396. Its totient is φ = 14136768.

The previous prime is 45982397. The next prime is 45982411. The reversal of 45982404 is 40428954.

45982404 is nontrivially palindromic in base 14.

45982404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45982397) and next prime (45982411).

It can be written as a sum of positive squares in 2 ways, for example, as 3992004 + 41990400 = 1998^2 + 6480^2 .

It is a super-2 number, since 2×459824042 = 4228762955238432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 37302 + ... + 38514.

Almost surely, 245982404 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 45982404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65018198).

45982404 is an abundant number, since it is smaller than the sum of its proper divisors (84053992).

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

45982404 is a wasteful number, since it uses less digits than its factorization.

45982404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45982404 is about 6781.0326647200. The cubic root of 45982404 is about 358.2590948182.

The spelling of 45982404 in words is "forty-five million, nine hundred eighty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1213 1404 1458 2106 2426 2916 3159 3639 4212 4852 6318 7278 9477 10917 12636 14556 15769 18954 21834 31538 32751 37908 43668 47307 63076 65502 94614 98253 131004 141921 189228 196506 283842 294759 393012 425763 567684 589518 851526 884277 1179036 1277289 1703052 1768554 2554578 3537108 3831867 5109156 7663734 11495601 15327468 22991202 45982404