Search a number
-
+
4691413272 = 23372131931521
BaseRepresentation
bin1000101111010000…
…10100100100011000
3110002221201111011010
410113220110210120
534102000211042
62053305133520
7224154232500
oct42750244430
913087644133
104691413272
111a981a9257
12aab18a2a0
13599c455b0
143270d4a00
151c6ced59c
hex117a14918

4691413272 has 384 divisors, whose sum is σ = 15995750400. Its totient is φ = 1132185600.

The previous prime is 4691413271. The next prime is 4691413277. The reversal of 4691413272 is 2723141964.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4691413272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4691413271) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 9004372 + ... + 9004892.

It is an arithmetic number, because the mean of its divisors is an integer number (41655600).

Almost surely, 24691413272 is an apocalyptic number.

4691413272 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 4691413272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997875200).

4691413272 is an abundant number, since it is smaller than the sum of its proper divisors (11304337128).

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

4691413272 is a wasteful number, since it uses less digits than its factorization.

4691413272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 4691413272 is about 68493.8922240516. The cubic root of 4691413272 is about 1674.0479653498.

The spelling of 4691413272 in words is "four billion, six hundred ninety-one million, four hundred thirteen thousand, two hundred seventy-two".