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988046136 = 2332711315749
BaseRepresentation
bin111010111001000…
…110001100111000
32112212011221111100
4322321012030320
54010414434021
6242013131400
733325152660
oct7271061470
92485157440
10988046136
114677a9760
12236a89b60
131299131ac
14953191a0
155bb1e626
hex3ae46338

988046136 has 192 divisors, whose sum is σ = 3444480000. Its totient is φ = 248313600.

The previous prime is 988046099. The next prime is 988046141. The reversal of 988046136 is 631640889.

988046136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 988046091 and 988046100.

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, 168990 + ... + 174738.

It is an arithmetic number, because the mean of its divisors is an integer number (17940000).

Almost surely, 2988046136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988046136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722240000).

988046136 is an abundant number, since it is smaller than the sum of its proper divisors (2456433864).

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

988046136 is a wasteful number, since it uses less digits than its factorization.

988046136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810 (or 5803 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 988046136 is about 31433.2011732817. The cubic root of 988046136 is about 995.9993951707. Note that the first 3 decimals are identical.

The spelling of 988046136 in words is "nine hundred eighty-eight million, forty-six thousand, one hundred thirty-six".