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4480963600 = 245233472
BaseRepresentation
bin1000010110001011…
…00001010000010000
3102120021201112110211
410023011201100100
533134111313400
62020350333504
7216020363551
oct41305412020
912507645424
104480963600
11199a429303
12a507ba294
1356546cb69
14307192328
151b35ccdba
hex10b161410

4480963600 has 45 divisors (see below), whose sum is σ = 10768732477. Its totient is φ = 1791849920.

The previous prime is 4480963589. The next prime is 4480963607. The reversal of 4480963600 is 63690844.

The square root of 4480963600 is 66940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1613146896 + 2867816704 = 40164^2 + 53552^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4480963607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1337127 + ... + 1340473.

Almost surely, 24480963600 is an apocalyptic number.

4480963600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4480963600 is the 66940-th square number.

It is an amenable number.

4480963600 is an abundant number, since it is smaller than the sum of its proper divisors (6287768877).

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

4480963600 is an frugal number, since it uses more digits than its factorization.

4480963600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6712 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The cubic root of 4480963600 is about 1648.6323040253.

The spelling of 4480963600 in words is "four billion, four hundred eighty million, nine hundred sixty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 3347 6694 13388 16735 26776 33470 53552 66940 83675 133880 167350 267760 334700 669400 1338800 11202409 22404818 44809636 56012045 89619272 112024090 179238544 224048180 280060225 448096360 560120450 896192720 1120240900 2240481800 4480963600