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46068448 = 2523531181
BaseRepresentation
bin1010111110111…
…1001011100000
310012200112000211
42233233023200
543243142243
64323223504
71066401226
oct257571340
9105615024
1046068448
11240059a8
1213517b94
13970ca4a
146192b16
15409ed9d
hex2bef2e0

46068448 has 48 divisors (see below), whose sum is σ = 96507936. Its totient is φ = 21598720.

The previous prime is 46068433. The next prime is 46068457. The reversal of 46068448 is 84486064.

It is a super-2 number, since 2×460684482 = 4244603802257408, 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 46068448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38418 + ... + 39598.

It is an arithmetic number, because the mean of its divisors is an integer number (2010582).

Almost surely, 246068448 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 46068448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48253968).

46068448 is an abundant number, since it is smaller than the sum of its proper divisors (50439488).

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

46068448 is a wasteful number, since it uses less digits than its factorization.

46068448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 46068448 is about 6787.3741608961. The cubic root of 46068448 is about 358.4824182001.

It can be divided in two parts, 460 and 68448, that multiplied together give a triangular number (31486080 = T7935).

The spelling of 46068448 in words is "forty-six million, sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 368 424 736 848 1181 1219 1696 2362 2438 4724 4876 9448 9752 18896 19504 27163 37792 39008 54326 62593 108652 125186 217304 250372 434608 500744 869216 1001488 1439639 2002976 2879278 5758556 11517112 23034224 46068448