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864148950 = 232527274333
BaseRepresentation
bin110011100000011…
…101110111010110
32020020001022111200
4303200131313112
53232210231300
6221425413330
730262100460
oct6340356726
92206038450
10864148950
11403875995
1220149a246
1310a053452
1482aa7130
1550ce9200
hex3381ddd6

864148950 has 72 divisors (see below), whose sum is σ = 2653358448. Its totient is φ = 197519040.

The previous prime is 864148933. The next prime is 864148993. The reversal of 864148950 is 59841468.

864148950 is a `hidden beast` number, since 86 + 41 + 489 + 50 = 666.

It is a super-2 number, since 2×8641489502 = 1493506815572205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 864148896 and 864148905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134017 + ... + 140316.

Almost surely, 2864148950 is an apocalyptic number.

864148950 is an abundant number, since it is smaller than the sum of its proper divisors (1789209498).

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

864148950 is a wasteful number, since it uses less digits than its factorization.

864148950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274358 (or 274350 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 864148950 is about 29396.4104951608. The cubic root of 864148950 is about 952.4953603015.

The spelling of 864148950 in words is "eight hundred sixty-four million, one hundred forty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 274333 548666 822999 1371665 1645998 1920331 2468997 2743330 3840662 4114995 4937994 5760993 6858325 8229990 9601655 11521986 12344985 13716650 17282979 19203310 20574975 24689970 28804965 34565958 41149950 48008275 57609930 61724925 86414895 96016550 123449850 144024825 172829790 288049650 432074475 864148950