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1396023552 = 28337114361
BaseRepresentation
bin101001100110101…
…1010000100000000
310121021212100022000
41103031122010000
510324340223202
6350305344000
746411001340
oct12315320400
93537770260
101396023552
11657023180
1232b638000
131932b8851
14d3598d20
158285b91c
hex5335a100

1396023552 has 576 divisors, whose sum is σ = 5352990720. Its totient is φ = 348364800.

The previous prime is 1396023529. The next prime is 1396023557. The reversal of 1396023552 is 2553206931.

1396023552 is a `hidden beast` number, since 13 + 9 + 602 + 35 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1396023557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22885602 + ... + 22885662.

Almost surely, 21396023552 is an apocalyptic number.

1396023552 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 1396023552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676495360).

1396023552 is an abundant number, since it is smaller than the sum of its proper divisors (3956967168).

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

1396023552 is a wasteful number, since it uses less digits than its factorization.

1396023552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1396023552 is about 37363.3985606235. The cubic root of 1396023552 is about 1117.6287928673.

The spelling of 1396023552 in words is "one billion, three hundred ninety-six million, twenty-three thousand, five hundred fifty-two".