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194899952 = 24132979409
BaseRepresentation
bin10111001110111…
…10111111110000
3111120201221110202
423213132333300
5344343244302
631201214332
74554423302
oct1347367760
9446657422
10194899952
11a001a245
12553313a8
13314bcb20
141bc55972
151219d202
hexb9deff0

194899952 has 80 divisors (see below), whose sum is σ = 427056000. Its totient is φ = 85542912.

The previous prime is 194899949. The next prime is 194899961. The reversal of 194899952 is 259998491.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476324 + ... + 476732.

It is an arithmetic number, because the mean of its divisors is an integer number (5338200).

Almost surely, 2194899952 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 194899952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213528000).

194899952 is an abundant number, since it is smaller than the sum of its proper divisors (232156048).

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

194899952 is a wasteful number, since it uses less digits than its factorization.

194899952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 56.

The square root of 194899952 is about 13960.6572911163. The cubic root of 194899952 is about 579.7898088937.

The spelling of 194899952 in words is "one hundred ninety-four million, eight hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 52 58 79 104 116 158 208 232 316 377 409 464 632 754 818 1027 1264 1508 1636 2054 2291 3016 3272 4108 4582 5317 6032 6544 8216 9164 10634 11861 16432 18328 21268 23722 29783 32311 36656 42536 47444 59566 64622 85072 94888 119132 129244 154193 189776 238264 258488 308386 420043 476528 516976 616772 840086 937019 1233544 1680172 1874038 2467088 3360344 3748076 6720688 7496152 12181247 14992304 24362494 48724988 97449976 194899952