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261493992 = 233223157907
BaseRepresentation
bin11111001011000…
…01010011101000
3200020001021022200
433211201103220
51013420301432
641540420200
76323443104
oct1745412350
9606037280
10261493992
11124674341
12736a7660
1342238296
1426a2c904
1517e54a7c
hexf9614e8

261493992 has 48 divisors (see below), whose sum is σ = 739009440. Its totient is φ = 83374368.

The previous prime is 261493951. The next prime is 261493993. The reversal of 261493992 is 299394162.

It is a happy number.

261493992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261493993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77298 + ... + 80609.

It is an arithmetic number, because the mean of its divisors is an integer number (15396030).

Almost surely, 2261493992 is an apocalyptic number.

It is an amenable number.

261493992 is an abundant number, since it is smaller than the sum of its proper divisors (477515448).

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

261493992 is a wasteful number, since it uses less digits than its factorization.

261493992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157942 (or 157935 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 261493992 is about 16170.7758626480. The cubic root of 261493992 is about 639.4705843172.

The spelling of 261493992 in words is "two hundred sixty-one million, four hundred ninety-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 157907 315814 473721 631628 947442 1263256 1421163 1894884 2842326 3631861 3789768 5684652 7263722 10895583 11369304 14527444 21791166 29054888 32686749 43582332 65373498 87164664 130746996 261493992