Search a number
-
+
261640992 = 2533187917
BaseRepresentation
bin11111001100001…
…01001100100000
3200020022201222010
433212011030200
51013440002432
641543512520
76324624504
oct1746051440
9606281863
10261640992
11124764828
1273758740
134228a172
1426a6a304
1517e833cc
hexf985320

261640992 has 48 divisors (see below), whose sum is σ = 708970752. Its totient is φ = 84399360.

The previous prime is 261640937. The next prime is 261640993. The reversal of 261640992 is 299046162.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 261640992.

It is not an unprimeable number, because it can be changed into a prime (261640993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40983 + ... + 46934.

It is an arithmetic number, because the mean of its divisors is an integer number (14770224).

Almost surely, 2261640992 is an apocalyptic number.

It is an amenable number.

261640992 is an abundant number, since it is smaller than the sum of its proper divisors (447329760).

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

261640992 is a wasteful number, since it uses less digits than its factorization.

261640992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87961 (or 87953 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 261640992 is about 16175.3204605040. The cubic root of 261640992 is about 639.5903889394.

The spelling of 261640992 in words is "two hundred sixty-one million, six hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 87917 175834 263751 351668 527502 703336 1055004 1406672 2110008 2725427 2813344 4220016 5450854 8176281 8440032 10901708 16352562 21803416 32705124 43606832 65410248 87213664 130820496 261640992