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190252464 = 24341277349
BaseRepresentation
bin10110101011100…
…00010110110000
3111020222211022120
423111300112300
5342201034324
630513434240
74500055623
oct1325602660
9436884276
10190252464
1198435546
125386b980
133055362c
141b3a5dba
1511a81179
hexb5705b0

190252464 has 80 divisors (see below), whose sum is σ = 506738400. Its totient is φ = 61470720.

The previous prime is 190252427. The next prime is 190252501. The reversal of 190252464 is 464252091.

It is an interprime number because it is at equal distance from previous prime (190252427) and next prime (190252501).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544962 + ... + 545310.

It is an arithmetic number, because the mean of its divisors is an integer number (6334230).

Almost surely, 2190252464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190252464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253369200).

190252464 is an abundant number, since it is smaller than the sum of its proper divisors (316485936).

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

190252464 is a wasteful number, since it uses less digits than its factorization.

190252464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 190252464 is about 13793.2035437747. The cubic root of 190252464 is about 575.1442249432.

The spelling of 190252464 in words is "one hundred ninety million, two hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 277 328 349 492 554 656 698 831 984 1047 1108 1396 1662 1968 2094 2216 2792 3324 4188 4432 5584 6648 8376 11357 13296 14309 16752 22714 28618 34071 42927 45428 57236 68142 85854 90856 96673 114472 136284 171708 181712 193346 228944 272568 290019 343416 386692 545136 580038 686832 773384 1160076 1546768 2320152 3963593 4640304 7927186 11890779 15854372 23781558 31708744 47563116 63417488 95126232 190252464