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40021716 = 22373779163
BaseRepresentation
bin1001100010101…
…0111011010100
32210022022110210
42120222323110
540221143331
63545445420
7664115250
oct230527324
983268423
1040021716
11206559a9
12114a0870
1383a36b7
14545b260
1537a8446
hex262aed4

40021716 has 96 divisors (see below), whose sum is σ = 111677440. Its totient is φ = 10917504.

The previous prime is 40021703. The next prime is 40021727. The reversal of 40021716 is 61712004.

40021716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40021692 and 40021701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245451 + ... + 245613.

Almost surely, 240021716 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 40021716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55838720).

40021716 is an abundant number, since it is smaller than the sum of its proper divisors (71655724).

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

40021716 is a wasteful number, since it uses less digits than its factorization.

40021716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 40021716 is about 6326.2718879289. The cubic root of 40021716 is about 342.0570678682.

The spelling of 40021716 in words is "forty million, twenty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 79 84 111 148 158 163 222 237 259 316 326 444 474 489 518 553 652 777 948 978 1036 1106 1141 1554 1659 1956 2212 2282 2923 3108 3318 3423 4564 5846 6031 6636 6846 8769 11692 12062 12877 13692 17538 18093 20461 24124 25754 35076 36186 38631 40922 42217 51508 61383 72372 77262 81844 84434 90139 122766 126651 154524 168868 180278 245532 253302 270417 360556 476449 506604 540834 952898 1081668 1429347 1905796 2858694 3335143 5717388 6670286 10005429 13340572 20010858 40021716