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261938012 = 22741401569
BaseRepresentation
bin11111001110011…
…01101101011100
3200020212211101212
433213031231130
51014024004022
641554123552
76330302450
oct1747155534
9606784355
10261938012
111249479a6
12738805b8
134236240b
1426b06660
1517ee13e2
hexf9cdb5c

261938012 has 48 divisors (see below), whose sum is σ = 538937280. Its totient is φ = 109056000.

The previous prime is 261938011. The next prime is 261938021. The reversal of 261938012 is 210839162.

It is a super-2 number, since 2×2619380122 = 137223044261024288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 261938012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261938011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460064 + ... + 460632.

It is an arithmetic number, because the mean of its divisors is an integer number (11227860).

Almost surely, 2261938012 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 261938012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269468640).

261938012 is an abundant number, since it is smaller than the sum of its proper divisors (276999268).

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

261938012 is a wasteful number, since it uses less digits than its factorization.

261938012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 261938012 is about 16184.4991272514. The cubic root of 261938012 is about 639.8323226095.

The spelling of 261938012 in words is "two hundred sixty-one million, nine hundred thirty-eight thousand, twelve".

Divisors: 1 2 4 7 14 28 41 82 164 287 401 569 574 802 1138 1148 1604 2276 2807 3983 5614 7966 11228 15932 16441 23329 32882 46658 65764 93316 115087 163303 228169 230174 326606 456338 460348 653212 912676 1597183 3194366 6388732 9354929 18709858 37419716 65484503 130969006 261938012