Search a number
-
+
105856248 = 2336765831
BaseRepresentation
bin1100100111100…
…11110011111000
321101012001110210
412103303303320
5204044344443
614300511120
72423522541
oct623636370
9241161423
10105856248
1154831403
122b54b4a0
1318c14244
14100b74c8
15945ec33
hex64f3cf8

105856248 has 32 divisors (see below), whose sum is σ = 268594560. Its totient is φ = 34758240.

The previous prime is 105856241. The next prime is 105856271. The reversal of 105856248 is 842658501.

It is a super-2 number, since 2×1058562482 = 22411090481275008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105856241) 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, 31308 + ... + 34523.

It is an arithmetic number, because the mean of its divisors is an integer number (8393580).

Almost surely, 2105856248 is an apocalyptic number.

It is an amenable number.

105856248 is an abundant number, since it is smaller than the sum of its proper divisors (162738312).

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

105856248 is a wasteful number, since it uses less digits than its factorization.

105856248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65907 (or 65903 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 105856248 is about 10288.6465582213. The cubic root of 105856248 is about 473.0483139387.

The spelling of 105856248 in words is "one hundred five million, eight hundred fifty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 65831 131662 197493 263324 394986 526648 789972 1579944 4410677 8821354 13232031 17642708 26464062 35285416 52928124 105856248