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45890850 = 23523171139
BaseRepresentation
bin1010111100001…
…1110100100010
310012100111102010
42233003310202
543222001400
64315333350
71065031365
oct257036442
9105314363
1045890850
11239a4525
1213451256
139679c65
1461480dc
154067450
hex2bc3d22

45890850 has 96 divisors (see below), whose sum is σ = 119992320. Its totient is φ = 11592000.

The previous prime is 45890839. The next prime is 45890851. The reversal of 45890850 is 5809854.

45890850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×458908502 = 4211940227445000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45890799 and 45890808.

It is not an unprimeable number, because it can be changed into a prime (45890851) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 330081 + ... + 330219.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 245890850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45890850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59996160).

45890850 is an abundant number, since it is smaller than the sum of its proper divisors (74101470).

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

45890850 is a wasteful number, since it uses less digits than its factorization.

45890850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The square root of 45890850 is about 6774.2785593744. The cubic root of 45890850 is about 358.0211643387.

The spelling of 45890850 in words is "forty-five million, eight hundred ninety thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 71 75 93 139 142 150 155 186 213 278 310 355 417 426 465 695 710 775 834 930 1065 1390 1550 1775 2085 2130 2201 2325 3475 3550 4170 4309 4402 4650 5325 6603 6950 8618 9869 10425 10650 11005 12927 13206 19738 20850 21545 22010 25854 29607 33015 43090 49345 55025 59214 64635 66030 98690 107725 110050 129270 148035 165075 215450 246725 296070 305939 323175 330150 493450 611878 646350 740175 917817 1480350 1529695 1835634 3059390 4589085 7648475 9178170 15296950 22945425 45890850