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188980992 = 2833191439
BaseRepresentation
bin10110100001110…
…01111100000000
3111011121020012000
423100321330000
5341334342432
630430304000
74453211664
oct1320717400
9434536160
10188980992
1197747242
1253358000
13301c9995
141b1548a4
15118ce57c
hexb439f00

188980992 has 144 divisors (see below), whose sum is σ = 588672000. Its totient is φ = 59636736.

The previous prime is 188980969. The next prime is 188981003. The reversal of 188980992 is 299089881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 130609 + ... + 132047.

It is an arithmetic number, because the mean of its divisors is an integer number (4088000).

Almost surely, 2188980992 is an apocalyptic number.

188980992 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 188980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294336000).

188980992 is an abundant number, since it is smaller than the sum of its proper divisors (399691008).

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

188980992 is a wasteful number, since it uses less digits than its factorization.

188980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The square root of 188980992 is about 13747.0357532088. The cubic root of 188980992 is about 573.8601155645.

The spelling of 188980992 in words is "one hundred eighty-eight million, nine hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 456 513 576 608 684 768 864 912 1026 1152 1216 1368 1439 1728 1824 2052 2304 2432 2736 2878 3456 3648 4104 4317 4864 5472 5756 6912 7296 8208 8634 10944 11512 12951 14592 16416 17268 21888 23024 25902 27341 32832 34536 38853 43776 46048 51804 54682 65664 69072 77706 82023 92096 103608 109364 131328 138144 155412 164046 184192 207216 218728 246069 276288 310824 328092 368384 414432 437456 492138 552576 621648 656184 738207 828864 874912 984276 1105152 1243296 1312368 1476414 1657728 1749824 1968552 2486592 2624736 2952828 3315456 3499648 3937104 4973184 5249472 5905656 6999296 7874208 9946368 10498944 11811312 15748416 20997888 23622624 31496832 47245248 62993664 94490496 188980992