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45278280 = 23325294337
BaseRepresentation
bin1010110010111…
…0010001001000
310011012101010100
42230232101020
543042401110
64254245400
71056600435
oct254562110
9104171110
1045278280
1123616273
12131b6860
1394c41a8
146028b8c
153e95bc0
hex2b2e448

45278280 has 96 divisors (see below), whose sum is σ = 152263800. Its totient is φ = 11655168.

The previous prime is 45278257. The next prime is 45278281. The reversal of 45278280 is 8287254.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22410756 + 22867524 = 4734^2 + 4782^2 .

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

It is not an unprimeable number, because it can be changed into a prime (45278281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8272 + ... + 12608.

Almost surely, 245278280 is an apocalyptic number.

45278280 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 45278280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76131900).

45278280 is an abundant number, since it is smaller than the sum of its proper divisors (106985520).

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

45278280 is a wasteful number, since it uses less digits than its factorization.

45278280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 45278280 is about 6728.9137310564. The cubic root of 45278280 is about 356.4210185354.

The spelling of 45278280 in words is "forty-five million, two hundred seventy-eight thousand, two hundred eighty".

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 4337 5220 8674 10440 13011 17348 21685 26022 34696 39033 43370 52044 65055 78066 86740 104088 125773 130110 156132 173480 195165 251546 260220 312264 377319 390330 503092 520440 628865 754638 780660 1006184 1131957 1257730 1509276 1561320 1886595 2263914 2515460 3018552 3773190 4527828 5030920 5659785 7546380 9055656 11319570 15092760 22639140 45278280