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190552992 = 25372331217
BaseRepresentation
bin10110101101110…
…01101110100000
3111021120002120020
423112321232200
5342240143432
630524113440
74502450040
oct1326715640
9437502506
10190552992
1198620313
1253995880
133062a366
141b443720
1511ae022c
hexb5b9ba0

190552992 has 96 divisors (see below), whose sum is σ = 574584192. Its totient is φ = 54165504.

The previous prime is 190552991. The next prime is 190553021. The reversal of 190552992 is 299255091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (190552991) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155968 + ... + 157184.

It is an arithmetic number, because the mean of its divisors is an integer number (5985252).

Almost surely, 2190552992 is an apocalyptic number.

190552992 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 190552992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287292096).

190552992 is an abundant number, since it is smaller than the sum of its proper divisors (384031200).

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

190552992 is a wasteful number, since it uses less digits than its factorization.

190552992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 42.

The square root of 190552992 is about 13804.0933059727. The cubic root of 190552992 is about 575.4469034798.

The spelling of 190552992 in words is "one hundred ninety million, five hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 233 336 466 672 699 932 1217 1398 1631 1864 2434 2796 3262 3651 3728 4868 4893 5592 6524 7302 7456 8519 9736 9786 11184 13048 14604 17038 19472 19572 22368 25557 26096 29208 34076 38944 39144 51114 52192 58416 68152 78288 102228 116832 136304 156576 204456 272608 283561 408912 567122 817824 850683 1134244 1701366 1984927 2268488 3402732 3969854 4536976 5954781 6805464 7939708 9073952 11909562 13610928 15879416 23819124 27221856 31758832 47638248 63517664 95276496 190552992