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4472992744 = 2311413893187
BaseRepresentation
bin1000010101001110…
…00111001111101000
3102112201201120111221
410022213013033220
533130041231434
62015503431424
7215562545113
oct41247071750
912481646457
104472992744
111995984720
12a49bb5574
1356390ba8c
143060b957a
151b2a562b4
hex10a9c73e8

4472992744 has 64 divisors (see below), whose sum is σ = 9399499200. Its totient is φ = 1977868800.

The previous prime is 4472992721. The next prime is 4472992793.

4472992744 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4472992691 and 4472992700.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1401919 + ... + 1405105.

It is an arithmetic number, because the mean of its divisors is an integer number (146867175).

Almost surely, 24472992744 is an apocalyptic number.

4472992744 is a gapful number since it is divisible by the number (44) 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 4472992744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699749600).

4472992744 is an abundant number, since it is smaller than the sum of its proper divisors (4926506456).

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

4472992744 is a wasteful number, since it uses less digits than its factorization.

4472992744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3630 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The square root of 4472992744 is about 66880.4361827882. The cubic root of 4472992744 is about 1647.6541803125.

The spelling of 4472992744 in words is "four billion, four hundred seventy-two million, nine hundred ninety-two thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 389 451 778 902 1556 1804 3112 3187 3608 4279 6374 8558 12748 15949 17116 25496 31898 34232 35057 63796 70114 127592 130667 140228 175439 261334 280456 350878 522668 701756 1045336 1239743 1403512 1437337 2479486 2874674 4958972 5749348 9917944 11498696 13637173 27274346 50829463 54548692 101658926 109097384 203317852 406635704 559124093 1118248186 2236496372 4472992744