Search a number
-
+
45276980 = 2257247983
BaseRepresentation
bin1010110010110…
…1111100110100
310011012022100012
42230231330310
543042330410
64254235352
71056563600
oct254557464
9104168305
1045276980
11236152a1
12131b5b58
1394c3718
146028500
153e95605
hex2b2df34

45276980 has 72 divisors (see below), whose sum is σ = 113073408. Its totient is φ = 15177792.

The previous prime is 45276977. The next prime is 45276983. The reversal of 45276980 is 8967254.

It is an interprime number because it is at equal distance from previous prime (45276977) and next prime (45276983).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45276983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45569 + ... + 46551.

It is an arithmetic number, because the mean of its divisors is an integer number (1570464).

Almost surely, 245276980 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 45276980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56536704).

45276980 is an abundant number, since it is smaller than the sum of its proper divisors (67796428).

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

45276980 is a wasteful number, since it uses less digits than its factorization.

45276980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 45276980 is about 6728.8171323049. The cubic root of 45276980 is about 356.4176073947.

The spelling of 45276980 in words is "forty-five million, two hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 49 70 94 98 140 188 196 235 245 329 470 490 658 940 980 983 1316 1645 1966 2303 3290 3932 4606 4915 6580 6881 9212 9830 11515 13762 19660 23030 27524 34405 46060 46201 48167 68810 92402 96334 137620 184804 192668 231005 240835 323407 462010 481670 646814 924020 963340 1293628 1617035 2263849 3234070 4527698 6468140 9055396 11319245 22638490 45276980