Search a number
-
+
45276280 = 23571011601
BaseRepresentation
bin1010110010110…
…1110001111000
310011012021101021
42230231301320
543042320110
64254232224
71056561550
oct254556170
9104167337
1045276280
1123614815
12131b5674
1394c32ca
146028160
153e952da
hex2b2dc78

45276280 has 64 divisors (see below), whose sum is σ = 117650880. Its totient is φ = 15360000.

The previous prime is 45276247. The next prime is 45276289. The reversal of 45276280 is 8267254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45276289) 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, 27480 + ... + 29080.

It is an arithmetic number, because the mean of its divisors is an integer number (1838295).

Almost surely, 245276280 is an apocalyptic number.

45276280 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 45276280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58825440).

45276280 is an abundant number, since it is smaller than the sum of its proper divisors (72374600).

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

45276280 is a wasteful number, since it uses less digits than its factorization.

45276280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 45276280 is about 6728.7651170181. The cubic root of 45276280 is about 356.4157705995.

The spelling of 45276280 in words is "forty-five million, two hundred seventy-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 1601 2020 2828 3202 3535 4040 5656 6404 7070 8005 11207 12808 14140 16010 22414 28280 32020 44828 56035 64040 89656 112070 161701 224140 323402 448280 646804 808505 1131907 1293608 1617010 2263814 3234020 4527628 5659535 6468040 9055256 11319070 22638140 45276280