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189516544 = 287176221
BaseRepresentation
bin10110100101111…
…00101100000000
3111012121102211021
423102330230000
5342004012134
630445555224
74460602240
oct1322745400
9435542737
10189516544
1197a82648
1253575b14
1330356689
141b253b20
15119880b4
hexb4bcb00

189516544 has 72 divisors (see below), whose sum is σ = 457839648. Its totient is φ = 76431360.

The previous prime is 189516517. The next prime is 189516557. The reversal of 189516544 is 445615981.

It is a self number, because there is not a number n which added to its sum of digits gives 189516544.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27354 + ... + 33574.

It is an arithmetic number, because the mean of its divisors is an integer number (6358884).

Almost surely, 2189516544 is an apocalyptic number.

189516544 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 189516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228919824).

189516544 is an abundant number, since it is smaller than the sum of its proper divisors (268323104).

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

189516544 is an equidigital number, since it uses as much as digits as its factorization.

189516544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6261 (or 6247 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The square root of 189516544 is about 13766.5007899611. The cubic root of 189516544 is about 574.4016904433.

The spelling of 189516544 in words is "one hundred eighty-nine million, five hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 6221 7616 12442 15232 24884 30464 43547 49768 87094 99536 105757 174188 199072 211514 348376 398144 423028 696752 740299 796288 846056 1393504 1480598 1592576 1692112 2787008 2961196 3384224 5574016 5922392 6768448 11148032 11844784 13536896 23689568 27073792 47379136 94758272 189516544