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41468112 = 243472653
BaseRepresentation
bin1001111000110…
…0000011010000
32220000210120000
42132030003100
541103434422
64040450000
71012321200
oct236140320
986023500
1041468112
1121453674
1211a79900
13878bb5a
145716400
153991cac
hex278c0d0

41468112 has 150 divisors (see below), whose sum is σ = 139829778. Its totient is φ = 11829888.

The previous prime is 41468099. The next prime is 41468113. The reversal of 41468112 is 21186414.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 30735936 + 10732176 = 5544^2 + 3276^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41468113) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63178 + ... + 63830.

Almost surely, 241468112 is an apocalyptic number.

41468112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41468112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69914889).

41468112 is an abundant number, since it is smaller than the sum of its proper divisors (98361666).

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

41468112 is a wasteful number, since it uses less digits than its factorization.

41468112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 665 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 41468112 is about 6439.5738989470. The cubic root of 41468112 is about 346.1290796640.

The spelling of 41468112 in words is "forty-one million, four hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 653 756 784 882 1008 1134 1176 1296 1306 1323 1512 1764 1959 2268 2352 2612 2646 3024 3528 3918 3969 4536 4571 5224 5292 5877 7056 7836 7938 9072 9142 10448 10584 11754 13713 15672 15876 17631 18284 21168 23508 27426 31344 31752 31997 35262 36568 41139 47016 52893 54852 63504 63994 70524 73136 82278 94032 95991 105786 109704 123417 127988 141048 164556 191982 211572 219408 246834 255976 282096 287973 329112 370251 383964 423144 493668 511952 575946 658224 740502 767928 846288 863919 987336 1151892 1481004 1535856 1727838 1974672 2303784 2591757 2962008 3455676 4607568 5183514 5924016 6911352 10367028 13822704 20734056 41468112