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1426102272 = 21132721579
BaseRepresentation
bin101010100000000…
…1001100000000000
310200101110111112200
41111000021200000
510410040233042
6353302153200
750224445400
oct12500114000
93611414480
101426102272
11671aa7821
12339722800
131995ba5ca
14d7588800
15852edc4c
hex55009800

1426102272 has 216 divisors, whose sum is σ = 4794344100. Its totient is φ = 407199744.

The previous prime is 1426102261. The next prime is 1426102319. The reversal of 1426102272 is 2722016241.

1426102272 is a `hidden beast` number, since 1 + 42 + 610 + 2 + 2 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902379 + ... + 903957.

Almost surely, 21426102272 is an apocalyptic number.

1426102272 is a gapful number since it is divisible by the number (12) 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 1426102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2397172050).

1426102272 is an abundant number, since it is smaller than the sum of its proper divisors (3368241828).

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

1426102272 is a wasteful number, since it uses less digits than its factorization.

1426102272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1426102272 is about 37763.7693033945. The cubic root of 1426102272 is about 1125.5986336955.

The spelling of 1426102272 in words is "one billion, four hundred twenty-six million, one hundred two thousand, two hundred seventy-two".