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1118981952 = 26351131211
BaseRepresentation
bin100001010110010…
…0100111101000000
32212222120011200000
41002230210331000
54242424410302
6303011400000
736505122024
oct10254447500
92788504600
101118981952
115246aa780
122728b3000
1314aa988ca
14a8880384
156838531c
hex42b24f40

1118981952 has 336 divisors, whose sum is σ = 3763329024. Its totient is φ = 326592000.

The previous prime is 1118981933. The next prime is 1118981977. The reversal of 1118981952 is 2591898111.

It is a junction number, because it is equal to n+sod(n) for n = 1118981898 and 1118981907.

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, 5303127 + ... + 5303337.

It is an arithmetic number, because the mean of its divisors is an integer number (11200384).

Almost surely, 21118981952 is an apocalyptic number.

1118981952 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 1118981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1881664512).

1118981952 is an abundant number, since it is smaller than the sum of its proper divisors (2644347072).

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

1118981952 is a wasteful number, since it uses less digits than its factorization.

1118981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its digits is 51840, while the sum is 45.

The square root of 1118981952 is about 33451.1876022362. The cubic root of 1118981952 is about 1038.1840697324.

The spelling of 1118981952 in words is "one billion, one hundred eighteen million, nine hundred eighty-one thousand, nine hundred fifty-two".