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4404976900 = 225266372
BaseRepresentation
bin1000001101000111…
…01001110100000100
3102100222202000022121
410012203221310010
533010133230100
62005033535324
7214105454152
oct40643516404
912328660277
104404976900
111960549385
12a2b274544
135527b640c
142db0523d2
151ababd51a
hex1068e9d04

4404976900 has 27 divisors (see below), whose sum is σ = 9560240319. Its totient is φ = 1761725280.

The previous prime is 4404976897. The next prime is 4404976931. The reversal of 4404976900 is 96794044.

The square root of 4404976900 is 66370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2291919876 + 2113057024 = 47874^2 + 45968^2 .

It is a super-2 number, since 2×44049769002 = 38807642979067220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 660382 + ... + 667018.

Almost surely, 24404976900 is an apocalyptic number.

4404976900 is the 66370-th square number.

It is an amenable number.

4404976900 is an abundant number, since it is smaller than the sum of its proper divisors (5155263419).

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

4404976900 is an frugal number, since it uses more digits than its factorization.

4404976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13288 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The cubic root of 4404976900 is about 1639.2601387100.

The spelling of 4404976900 in words is "four billion, four hundred four million, nine hundred seventy-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6637 13274 26548 33185 66370 132740 165925 331850 663700 44049769 88099538 176199076 220248845 440497690 880995380 1101244225 2202488450 4404976900