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40814424 = 23327471723
BaseRepresentation
bin1001101110110…
…0011101011000
32211210120212100
42123230131120
540422030144
64014443400
71003626330
oct233543530
984716770
1040814424
1121047532
1211803560
1385c0461
1455c60c0
1538b3269
hex26ec758

40814424 has 96 divisors (see below), whose sum is σ = 129093120. Its totient is φ = 11406528.

The previous prime is 40814419. The next prime is 40814447. The reversal of 40814424 is 42441804.

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 23 ways as a sum of consecutive naturals, for example, 22827 + ... + 24549.

It is an arithmetic number, because the mean of its divisors is an integer number (1344720).

Almost surely, 240814424 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 40814424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64546560).

40814424 is an abundant number, since it is smaller than the sum of its proper divisors (88278696).

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

40814424 is a wasteful number, since it uses less digits than its factorization.

40814424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 40814424 is about 6388.6167516920. The cubic root of 40814424 is about 344.3006880585.

The spelling of 40814424 in words is "forty million, eight hundred fourteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 56 63 72 84 94 126 141 168 188 252 282 329 376 423 504 564 658 846 987 1128 1316 1692 1723 1974 2632 2961 3384 3446 3948 5169 5922 6892 7896 10338 11844 12061 13784 15507 20676 23688 24122 31014 36183 41352 48244 62028 72366 80981 96488 108549 124056 144732 161962 217098 242943 289464 323924 434196 485886 566867 647848 728829 868392 971772 1133734 1457658 1700601 1943544 2267468 2915316 3401202 4534936 5101803 5830632 6802404 10203606 13604808 20407212 40814424