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988049160 = 2332574173131
BaseRepresentation
bin111010111001000…
…110111100001000
32112212012002122100
4322321012330020
54010420033120
6242013153400
733325164540
oct7271067410
92485162570
10988049160
11467800a5a
12236a8b860
13129914697
149531a320
155bb20490
hex3ae46f08

988049160 has 384 divisors, whose sum is σ = 3839996160. Its totient is φ = 215654400.

The previous prime is 988049137. The next prime is 988049171. The reversal of 988049160 is 61940889.

988049160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9880491602 = 1952482285153411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7542295 + ... + 7542425.

It is an arithmetic number, because the mean of its divisors is an integer number (9999990).

Almost surely, 2988049160 is an apocalyptic number.

988049160 is a gapful number since it is divisible by the number (90) 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 988049160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919998080).

988049160 is an abundant number, since it is smaller than the sum of its proper divisors (2851947000).

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

988049160 is a wasteful number, since it uses less digits than its factorization.

988049160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 988049160 is about 31433.2492752499. The cubic root of 988049160 is about 996.0004112835. Note that the first 3 decimals are identical.

The spelling of 988049160 in words is "nine hundred eighty-eight million, forty-nine thousand, one hundred sixty".