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46149220 = 225131753197
BaseRepresentation
bin1011000000001…
…0111001100100
310012211121211101
42300002321210
543303233340
64325045444
71100155555
oct260027144
9105747741
1046149220
1124060657
1213556884
13973a740
1461b432c
1540b8c9a
hex2c02e64

46149220 has 96 divisors (see below), whose sum is σ = 113164128. Its totient is φ = 15654912.

The previous prime is 46149217. The next prime is 46149221. The reversal of 46149220 is 2294164.

It can be written as a sum of positive squares in 16 ways, for example, as 262144 + 45887076 = 512^2 + 6774^2 .

It is not an unprimeable number, because it can be changed into a prime (46149221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234162 + ... + 234358.

It is an arithmetic number, because the mean of its divisors is an integer number (1178793).

Almost surely, 246149220 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 46149220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56582064).

46149220 is an abundant number, since it is smaller than the sum of its proper divisors (67014908).

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

46149220 is a wasteful number, since it uses less digits than its factorization.

46149220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 46149220 is about 6793.3217206312. The cubic root of 46149220 is about 358.6918054423.

The spelling of 46149220 in words is "forty-six million, one hundred forty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 53 65 68 85 106 130 170 197 212 221 260 265 340 394 442 530 689 788 884 901 985 1060 1105 1378 1802 1970 2210 2561 2756 3349 3445 3604 3940 4420 4505 5122 6698 6890 9010 10244 10441 11713 12805 13396 13780 16745 18020 20882 23426 25610 33490 41764 43537 46852 51220 52205 58565 66980 87074 104410 117130 135733 174148 177497 208820 217685 234260 271466 354994 435370 542932 678665 709988 870740 887485 1357330 1774970 2307461 2714660 3549940 4614922 9229844 11537305 23074610 46149220