Search a number
-
+
189554688 = 21333857
BaseRepresentation
bin10110100110001…
…10000000000000
3111012200101011000
423103012000000
5342011222223
630450452000
74461121401
oct1323060000
9435611130
10189554688
1197aa9274
1253594000
133036ab4b
141b2639a8
1511994543
hexb4c6000

189554688 has 112 divisors (see below), whose sum is σ = 562264560. Its totient is φ = 63111168.

The previous prime is 189554657. The next prime is 189554723. The reversal of 189554688 is 886455981.

It is a happy number.

189554688 is a `hidden beast` number, since 1 + 8 + 9 + 554 + 6 + 88 = 666.

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

It is a congruent number.

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, 220756 + ... + 221612.

Almost surely, 2189554688 is an apocalyptic number.

189554688 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 189554688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281132280).

189554688 is an abundant number, since it is smaller than the sum of its proper divisors (372709872).

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

189554688 is an frugal number, since it uses more digits than its factorization.

189554688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 862 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The square root of 189554688 is about 13767.8861122541. The cubic root of 189554688 is about 574.4402244728.

The spelling of 189554688 in words is "one hundred eighty-nine million, five hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 857 864 1024 1152 1536 1714 1728 2048 2304 2571 3072 3428 3456 4096 4608 5142 6144 6856 6912 7713 8192 9216 10284 12288 13712 13824 15426 18432 20568 23139 24576 27424 27648 30852 36864 41136 46278 54848 55296 61704 73728 82272 92556 109696 110592 123408 164544 185112 219392 221184 246816 329088 370224 438784 493632 658176 740448 877568 987264 1316352 1480896 1755136 1974528 2632704 2961792 3510272 3949056 5265408 5923584 7020544 7898112 10530816 11847168 15796224 21061632 23694336 31592448 47388672 63184896 94777344 189554688