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1938832896 = 29371113297
BaseRepresentation
bin111001110010000…
…0011111000000000
312000010020220201210
41303210003320000
512432320123041
6520215530120
766021544020
oct16344037000
95003226653
101938832896
11905469940
12461389940
1324b8ac100
141456d5a80
15b532e016
hex73903e00

1938832896 has 480 divisors, whose sum is σ = 7045049088. Its totient is φ = 460062720.

The previous prime is 1938832879. The next prime is 1938832901. The reversal of 1938832896 is 6982388391.

It is a super-2 number, since 2×19388328962 = 7518145997223493632, which contains 22 as substring.

Its product of digits (4478976) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19987920 + ... + 19988016.

Almost surely, 21938832896 is an apocalyptic number.

1938832896 is a gapful number since it is divisible by the number (16) 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 1938832896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3522524544).

1938832896 is an abundant number, since it is smaller than the sum of its proper divisors (5106216192).

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

1938832896 is a wasteful number, since it uses less digits than its factorization.

1938832896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 133 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 57.

The square root of 1938832896 is about 44032.1802321893. The cubic root of 1938832896 is about 1246.9435503973.

The spelling of 1938832896 in words is "one billion, nine hundred thirty-eight million, eight hundred thirty-two thousand, eight hundred ninety-six".