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188048952 = 23357131063
BaseRepresentation
bin10110011010101…
…10011000111000
3111002211212200000
423031112120320
5341120031302
630354313000
74442250450
oct1315263070
9432755600
10188048952
119716aa63
1252b88760
132cc61690
141ad90d60
151179831c
hexb356638

188048952 has 192 divisors, whose sum is σ = 650657280. Its totient is φ = 49548672.

The previous prime is 188048923. The next prime is 188048957. The reversal of 188048952 is 259840881.

It is a happy number.

188048952 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 = 188048898 and 188048907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188048957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176373 + ... + 177435.

It is an arithmetic number, because the mean of its divisors is an integer number (3388840).

Almost surely, 2188048952 is an apocalyptic number.

188048952 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 188048952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325328640).

188048952 is an abundant number, since it is smaller than the sum of its proper divisors (462608328).

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

188048952 is a wasteful number, since it uses less digits than its factorization.

188048952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 188048952 is about 13713.0941803810. The cubic root of 188048952 is about 572.9151487525.

The spelling of 188048952 in words is "one hundred eighty-eight million, forty-eight thousand, nine hundred fifty-two".