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40971216 = 243111347127
BaseRepresentation
bin1001110001001…
…0101111010000
32212002112221110
42130102233100
540442034331
64022053320
71005151416
oct234225720
985075843
1040971216
1121144310
121187a240
138646930
1456272b6
1538e4946
hex2712bd0

40971216 has 160 divisors (see below), whose sum is σ = 127991808. Its totient is φ = 11128320.

The previous prime is 40971187. The next prime is 40971221. The reversal of 40971216 is 61217904.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322545 + ... + 322671.

Almost surely, 240971216 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 40971216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63995904).

40971216 is an abundant number, since it is smaller than the sum of its proper divisors (87020592).

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

40971216 is a wasteful number, since it uses less digits than its factorization.

40971216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 40971216 is about 6400.8761900227. The cubic root of 40971216 is about 344.7410112569.

The spelling of 40971216 in words is "forty million, nine hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 47 48 52 66 78 88 94 104 127 132 141 143 156 176 188 208 254 264 282 286 312 376 381 429 508 517 528 564 572 611 624 752 762 858 1016 1034 1128 1144 1222 1397 1524 1551 1651 1716 1833 2032 2068 2256 2288 2444 2794 3048 3102 3302 3432 3666 4136 4191 4888 4953 5588 5969 6096 6204 6604 6721 6864 7332 8272 8382 9776 9906 11176 11938 12408 13208 13442 14664 16764 17907 18161 19812 20163 22352 23876 24816 26416 26884 29328 33528 35814 36322 39624 40326 47752 53768 54483 65659 67056 71628 72644 77597 79248 80652 95504 107536 108966 131318 143256 145288 155194 161304 196977 217932 232791 262636 286512 290576 310388 322608 393954 435864 465582 525272 620776 787908 853567 871728 931164 1050544 1241552 1575816 1707134 1862328 2560701 3151632 3414268 3724656 5121402 6828536 10242804 13657072 20485608 40971216