Search a number
-
+
4244974272 = 263272113113
BaseRepresentation
bin1111110100000101…
…0010101011000000
3101221211200000222100
43331001102223000
532143203134042
61541120310400
7210123454200
oct37501225300
911854600870
104244974272
1118891a5000
129a5772400
135285c46c6
142c3ac2400
1519ca1524c
hexfd052ac0

4244974272 has 504 divisors, whose sum is σ = 15706081872. Its totient is φ = 1092833280.

The previous prime is 4244974259. The next prime is 4244974289. The reversal of 4244974272 is 2724794424.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37566088 + ... + 37566200.

Almost surely, 24244974272 is an apocalyptic number.

4244974272 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 4244974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853040936).

4244974272 is an abundant number, since it is smaller than the sum of its proper divisors (11461107600).

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

4244974272 is a wasteful number, since it uses less digits than its factorization.

4244974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 136 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 4244974272 is about 65153.4670758203. The cubic root of 4244974272 is about 1619.1671622200.

The spelling of 4244974272 in words is "four billion, two hundred forty-four million, nine hundred seventy-four thousand, two hundred seventy-two".