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1392082944 = 215372172
BaseRepresentation
bin101001011111001…
…1000000000000000
310121000110010210120
41102332120000000
510322333123234
6350045100240
746332336600
oct12276300000
93530403716
101392082944
1165488157a
1232a257680
13192539025
14d2c50c00
158232e049
hex52f98000

1392082944 has 288 divisors, whose sum is σ = 4587187860. Its totient is φ = 374341632.

The previous prime is 1392082907. The next prime is 1392082949. The reversal of 1392082944 is 4492802931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1392082896 and 1392082905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392082949) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 81887224 + ... + 81887240.

Almost surely, 21392082944 is an apocalyptic number.

1392082944 is a gapful number since it is divisible by the number (14) 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 1392082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2293593930).

1392082944 is an abundant number, since it is smaller than the sum of its proper divisors (3195104916).

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

1392082944 is an frugal number, since it uses more digits than its factorization.

1392082944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1392082944 is about 37310.6277620734. The cubic root of 1392082944 is about 1116.5762109645.

Multiplying 1392082944 by its product of nonzero digits (124416), we get a square (173197391560704 = 131604482).

The spelling of 1392082944 in words is "one billion, three hundred ninety-two million, eighty-two thousand, nine hundred forty-four".