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45403560 = 23325294349
BaseRepresentation
bin1010110100110…
…0110110101000
310011102201222100
42231030312220
543110403220
64301053400
71060631616
oct255146650
9104381870
1045403560
11236a1404
1213257260
139539217
14605c6b6
153ebcd90
hex2b4cda8

45403560 has 96 divisors (see below), whose sum is σ = 152685000. Its totient is φ = 11687424.

The previous prime is 45403493. The next prime is 45403607. The reversal of 45403560 is 6530454.

45403560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23444964 + 21958596 = 4842^2 + 4686^2 .

It is a super-2 number, since 2×454035602 = 4122966521347200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 8266 + ... + 12614.

Almost surely, 245403560 is an apocalyptic number.

45403560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45403560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76342500).

45403560 is an abundant number, since it is smaller than the sum of its proper divisors (107281440).

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

45403560 is a wasteful number, since it uses less digits than its factorization.

45403560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 45403560 is about 6738.2163812095. The cubic root of 45403560 is about 356.7494416823.

It can be divided in two parts, 4540 and 3560, that added together give a square (8100 = 902).

The spelling of 45403560 in words is "forty-five million, four hundred three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 4349 5220 8698 10440 13047 17396 21745 26094 34792 39141 43490 52188 65235 78282 86980 104376 126121 130470 156564 173960 195705 252242 260940 313128 378363 391410 504484 521880 630605 756726 782820 1008968 1135089 1261210 1513452 1565640 1891815 2270178 2522420 3026904 3783630 4540356 5044840 5675445 7567260 9080712 11350890 15134520 22701780 45403560