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264254116 = 227471131777
BaseRepresentation
bin11111100000000…
…11001010100100
3200102020111111111
433300003022210
51020122112431
642115514404
76356060110
oct1760031244
9612214444
10264254116
1112618a035
12745b8a04
13429936a9
142714a740
15182ec7b1
hexfc032a4

264254116 has 48 divisors (see below), whose sum is σ = 544836096. Its totient is φ = 109799424.

The previous prime is 264254113. The next prime is 264254129. The reversal of 264254116 is 611452462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (264254113) 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, 147820 + ... + 149596.

It is an arithmetic number, because the mean of its divisors is an integer number (11350752).

Almost surely, 2264254116 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 264254116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272418048).

264254116 is an abundant number, since it is smaller than the sum of its proper divisors (280581980).

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

264254116 is a wasteful number, since it uses less digits than its factorization.

264254116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1946 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 264254116 is about 16255.8948077305. The cubic root of 264254116 is about 641.7126297392.

The spelling of 264254116 in words is "two hundred sixty-four million, two hundred fifty-four thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 28 47 94 113 188 226 329 452 658 791 1316 1582 1777 3164 3554 5311 7108 10622 12439 21244 24878 37177 49756 74354 83519 148708 167038 200801 334076 401602 584633 803204 1169266 1405607 2338532 2811214 5622428 9437647 18875294 37750588 66063529 132127058 264254116