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45107480 = 23511313307
BaseRepresentation
bin1010110000010…
…0100100011000
310010212200211102
42230010210120
543021414410
64250450532
71055256455
oct254044430
9103780742
1045107480
1123509a10
1213133a48
139464522
145dc282c
153e602a5
hex2b04918

45107480 has 64 divisors (see below), whose sum is σ = 114324480. Its totient is φ = 15868800.

The previous prime is 45107437. The next prime is 45107483. The reversal of 45107480 is 8470154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45107483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11987 + ... + 15293.

It is an arithmetic number, because the mean of its divisors is an integer number (1786320).

Almost surely, 245107480 is an apocalyptic number.

45107480 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 45107480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57162240).

45107480 is an abundant number, since it is smaller than the sum of its proper divisors (69217000).

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

45107480 is a wasteful number, since it uses less digits than its factorization.

45107480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 45107480 is about 6716.2102409022. The cubic root of 45107480 is about 355.9722866951.

It can be divided in two parts, 451074 and 80, that added together give a palindrome (451154).

The spelling of 45107480 in words is "forty-five million, one hundred seven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3307 3410 6614 6820 13228 13640 16535 26456 33070 36377 66140 72754 102517 132280 145508 181885 205034 291016 363770 410068 512585 727540 820136 1025170 1127687 1455080 2050340 2255374 4100680 4510748 5638435 9021496 11276870 22553740 45107480