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3914674272 = 253419292741
BaseRepresentation
bin1110100101010101…
…0011000001100000
3101002211011001120000
43221111103001200
531004124034042
61444241020000
7166003116345
oct35125230140
911084131500
103914674272
1117298057a3
12913024600
134a5048212
14291ca27cc
1517da1d74c
hexe9553060

3914674272 has 240 divisors, whose sum is σ = 12541359600. Its totient is φ = 1193149440.

The previous prime is 3914674261. The next prime is 3914674277. The reversal of 3914674272 is 2724764193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3914674277) 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 39 ways as a sum of consecutive naturals, for example, 1426822 + ... + 1429562.

It is an arithmetic number, because the mean of its divisors is an integer number (52255665).

Almost surely, 23914674272 is an apocalyptic number.

3914674272 is a gapful number since it is divisible by the number (32) 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 3914674272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270679800).

3914674272 is an abundant number, since it is smaller than the sum of its proper divisors (8626685328).

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

3914674272 is a wasteful number, since it uses less digits than its factorization.

3914674272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2794 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 3914674272 is about 62567.3578793287. The cubic root of 3914674272 is about 1576.0326506845.

The spelling of 3914674272 in words is "three billion, nine hundred fourteen million, six hundred seventy-four thousand, two hundred seventy-two".