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45402460 = 22523891109
BaseRepresentation
bin1010110100110…
…0100101011100
310011102200110121
42231030211130
543110334320
64301044324
71060625455
oct255144534
9104380417
1045402460
11236a05a4
12132566a4
13953887c
14605c12c
153ebc8aa
hex2b4c95c

45402460 has 48 divisors (see below), whose sum is σ = 100699200. Its totient is φ = 17160704.

The previous prime is 45402451. The next prime is 45402463. The reversal of 45402460 is 6420454.

45402460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×454024602 = 4122766748103200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45402463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 40386 + ... + 41494.

It is an arithmetic number, because the mean of its divisors is an integer number (2097900).

Almost surely, 245402460 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 45402460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50349600).

45402460 is an abundant number, since it is smaller than the sum of its proper divisors (55296740).

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

45402460 is a wasteful number, since it uses less digits than its factorization.

45402460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 45402460 is about 6738.1347567409. The cubic root of 45402460 is about 356.7465606487.

The spelling of 45402460 in words is "forty-five million, four hundred two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 89 92 115 178 230 356 445 460 890 1109 1780 2047 2218 4094 4436 5545 8188 10235 11090 20470 22180 25507 40940 51014 98701 102028 127535 197402 255070 394804 493505 510140 987010 1974020 2270123 4540246 9080492 11350615 22701230 45402460