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189079044 = 2237211233141
BaseRepresentation
bin10110100010100…
…01111000000100
3111011210012200120
423101101320010
5341401012134
630432341540
74454100600
oct1321217004
9434705616
10189079044
1197803980
12533a48b0
13302324bb
141b17c500
15118ed649
hexb451e04

189079044 has 288 divisors, whose sum is σ = 617766912. Its totient is φ = 44352000.

The previous prime is 189079039. The next prime is 189079061. The reversal of 189079044 is 440970981.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 189078987 and 189079005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4611664 + ... + 4611704.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2189079044 is an apocalyptic number.

189079044 is a gapful number since it is divisible by the number (14) 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 189079044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308883456).

189079044 is an abundant number, since it is smaller than the sum of its proper divisors (428687868).

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

189079044 is a wasteful number, since it uses less digits than its factorization.

189079044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 189079044 is about 13750.6015868398. The cubic root of 189079044 is about 573.9593467143.

The spelling of 189079044 in words is "one hundred eighty-nine million, seventy-nine thousand, forty-four".