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189629748 = 22347112691
BaseRepresentation
bin10110100110110…
…00010100110100
3111012211012010000
423103120110310
5342021122443
630452231300
74461553260
oct1323302464
9435735100
10189629748
119804a700
125360b530
1330396069
141b2830a0
15119ab8d3
hexb4d8534

189629748 has 180 divisors, whose sum is σ = 623635936. Its totient is φ = 49183200.

The previous prime is 189629743. The next prime is 189629771. The reversal of 189629748 is 847926981.

189629748 is a `hidden beast` number, since 1 + 8 + 9 + 629 + 7 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 189629694 and 189629703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189629743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 274083 + ... + 274773.

Almost surely, 2189629748 is an apocalyptic number.

189629748 is a gapful number since it is divisible by the number (18) 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 189629748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311817968).

189629748 is an abundant number, since it is smaller than the sum of its proper divisors (434006188).

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

189629748 is a wasteful number, since it uses less digits than its factorization.

189629748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 714 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 189629748 is about 13770.6117511169. The cubic root of 189629748 is about 574.5160368830.

The spelling of 189629748 in words is "one hundred eighty-nine million, six hundred twenty-nine thousand, seven hundred forty-eight".