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39229744225 = 527256592
BaseRepresentation
bin100100100010010001…
…100110010001100001
310202020222200111012211
4210202101212101201
51120320303303400
630004421322121
72556102216100
oct444221462141
9122228614184
1039229744225
1115701193521
127729b66341
133912615109
141c82186037
151049087dba
hex922466461

39229744225 has 27 divisors (see below), whose sum is σ = 56596905747. Its totient is φ = 26895642480.

The previous prime is 39229744217. The next prime is 39229744237. The reversal of 39229744225 is 52244792293.

It is a happy number.

The square root of 39229744225 is 198065.

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., 14122707921 + 25107036304 = 118839^2 + 158452^2 .

It is not a de Polignac number, because 39229744225 - 23 = 39229744217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

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 26 ways as a sum of consecutive naturals, for example, 6929446 + ... + 6935104.

Almost surely, 239229744225 is an apocalyptic number.

39229744225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

39229744225 is the 198065-th square number.

39229744225 is the 99033-rd centered octagonal number.

It is an amenable number.

39229744225 is a deficient number, since it is larger than the sum of its proper divisors (17367161522).

39229744225 is an frugal number, since it uses more digits than its factorization.

39229744225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11342 (or 5671 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 49.

Multiplying 39229744225 by its sum of digits (49), we get a square (1922257467025 = 13864552).

39229744225 divided by its sum of digits (49) gives a square (800607025 = 282952).

The spelling of 39229744225 in words is "thirty-nine billion, two hundred twenty-nine million, seven hundred forty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 5659 28295 39613 141475 198065 277291 990325 1386455 6932275 32024281 160121405 224169967 800607025 1120849835 1569189769 5604249175 7845948845 39229744225