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4744971252 = 2234721717581
BaseRepresentation
bin1000110101101001…
…01000001111110100
3110020200111111220000
410122310220033310
534204203040002
62102501111300
7225404406300
oct43264501764
913220444800
104744971252
11201545a14a
12b050b8530
135a80782c8
14330276d00
151cb87c61c
hex11ad283f4

4744971252 has 180 divisors, whose sum is σ = 15279144804. Its totient is φ = 1275886080.

The previous prime is 4744971221. The next prime is 4744971281. The reversal of 4744971252 is 2521794474.

It can be written as a sum of positive squares in 2 ways, for example, as 2464526736 + 2280444516 = 49644^2 + 47754^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4744971198 and 4744971207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 261102 + ... + 278682.

Almost surely, 24744971252 is an apocalyptic number.

4744971252 is a gapful number since it is divisible by the number (42) 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 4744971252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7639572402).

4744971252 is an abundant number, since it is smaller than the sum of its proper divisors (10534173552).

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

4744971252 is a wasteful number, since it uses less digits than its factorization.

4744971252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17628 (or 17610 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 4744971252 is about 68883.7517270945. The cubic root of 4744971252 is about 1680.3942824578.

The spelling of 4744971252 in words is "four billion, seven hundred forty-four million, nine hundred seventy-one thousand, two hundred fifty-two".