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413437112 = 2311193741163
BaseRepresentation
bin11000101001001…
…000110010111000
31001210221210002122
4120221020302320
51321314441422
6105005220412
713150105004
oct3051106270
91053853078
10413437112
111a2413470
12b6561708
136786775a
143cca1704
1526469d42
hex18a48cb8

413437112 has 128 divisors (see below), whose sum is σ = 942278400. Its totient is φ = 167961600.

The previous prime is 413437103. The next prime is 413437117. The reversal of 413437112 is 211734314.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413437117) 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, 2536343 + ... + 2536505.

It is an arithmetic number, because the mean of its divisors is an integer number (7361550).

Almost surely, 2413437112 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 413437112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471139200).

413437112 is an abundant number, since it is smaller than the sum of its proper divisors (528841288).

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

413437112 is a wasteful number, since it uses less digits than its factorization.

413437112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 413437112 is about 20333.1530265230. The cubic root of 413437112 is about 744.9660582408.

The spelling of 413437112 in words is "four hundred thirteen million, four hundred thirty-seven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 37 38 41 44 74 76 82 88 148 152 163 164 209 296 326 328 407 418 451 652 703 779 814 836 902 1304 1406 1517 1558 1628 1672 1793 1804 2812 3034 3097 3116 3256 3586 3608 5624 6031 6068 6194 6232 6683 7172 7733 8569 12062 12136 12388 13366 14344 15466 16687 17138 24124 24776 26732 28823 30932 33374 34067 34276 48248 53464 57646 61864 66341 66748 68134 68552 73513 114589 115292 126977 132682 133496 136268 147026 229178 230584 247271 253954 265364 272536 294052 317053 458356 494542 507908 530728 588104 634106 916712 989084 1015816 1260479 1268212 1396747 1978168 2520958 2536424 2719981 2793494 4698149 5041916 5439962 5586988 9396298 10083832 10879924 11173976 18792596 21759848 37585192 51679639 103359278 206718556 413437112