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45999620 = 22517193701
BaseRepresentation
bin1010111101111…
…0011000000100
310012120000121122
42233132120010
543233441440
64321533112
71065663452
oct257363004
9105500548
1045999620
1123a69217
12134a4198
1396b7614
1461759d2
1540897b5
hex2bde604

45999620 has 48 divisors (see below), whose sum is σ = 102958128. Its totient is φ = 17203200.

The previous prime is 45999557. The next prime is 45999661. The reversal of 45999620 is 2699954.

45999620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 948676 + 45050944 = 974^2 + 6712^2 .

It is a super-3 number, since 3×459996203 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65270 + ... + 65970.

It is an arithmetic number, because the mean of its divisors is an integer number (2144961).

Almost surely, 245999620 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 45999620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51479064).

45999620 is an abundant number, since it is smaller than the sum of its proper divisors (56958508).

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

45999620 is a wasteful number, since it uses less digits than its factorization.

45999620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 44.

The square root of 45999620 is about 6782.3019690957. The cubic root of 45999620 is about 358.3038004625.

The spelling of 45999620 in words is "forty-five million, nine hundred ninety-nine thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 701 772 965 1402 1930 2804 3281 3505 3860 6562 7010 11917 13124 14020 16405 23834 32810 47668 59585 65620 119170 135293 238340 270586 541172 676465 1352930 2299981 2705860 4599962 9199924 11499905 22999810 45999620