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41716480 = 2851323109
BaseRepresentation
bin1001111100100…
…0101100000000
32220111102020211
42133020230000
541134411410
64050043504
71014404251
oct237105400
986442224
1041716480
1121603233
1211b79594
138847c10
14577cb28
1539e068a
hex27c8b00

41716480 has 144 divisors (see below), whose sum is σ = 113319360. Its totient is φ = 14598144.

The previous prime is 41716447. The next prime is 41716513. The reversal of 41716480 is 8461714.

It is an interprime number because it is at equal distance from previous prime (41716447) and next prime (41716513).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382666 + ... + 382774.

It is an arithmetic number, because the mean of its divisors is an integer number (786940).

Almost surely, 241716480 is an apocalyptic number.

41716480 is a gapful number since it is divisible by the number (40) 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 41716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56659680).

41716480 is an abundant number, since it is smaller than the sum of its proper divisors (71602880).

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

41716480 is a wasteful number, since it uses less digits than its factorization.

41716480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 41716480 is about 6458.8296153405. The cubic root of 41716480 is about 346.8187367015.

The spelling of 41716480 in words is "forty-one million, seven hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 109 115 128 130 160 184 208 218 230 256 260 299 320 368 416 436 460 520 545 598 640 736 832 872 920 1040 1090 1196 1280 1417 1472 1495 1664 1744 1840 2080 2180 2392 2507 2834 2944 2990 3328 3488 3680 4160 4360 4784 5014 5668 5888 5980 6976 7085 7360 8320 8720 9568 10028 11336 11960 12535 13952 14170 14720 16640 17440 19136 20056 22672 23920 25070 27904 28340 29440 32591 34880 38272 40112 45344 47840 50140 56680 65182 69760 76544 80224 90688 95680 100280 113360 130364 139520 160448 162955 181376 191360 200560 226720 260728 320896 325910 362752 382720 401120 453440 521456 641792 651820 802240 906880 1042912 1303640 1604480 1813760 2085824 2607280 3208960 4171648 5214560 8343296 10429120 20858240 41716480