Search a number
-
+
40814352 = 24323141223
BaseRepresentation
bin1001101110110…
…0011100010000
32211210120202200
42123230130100
540422024402
64014443200
71003626165
oct233543420
984716680
1040814352
1121047477
1211803500
1385c0407
1455c606c
1538b321c
hex26ec710

40814352 has 120 divisors (see below), whose sum is σ = 121325568. Its totient is φ = 12787200.

The previous prime is 40814341. The next prime is 40814369. The reversal of 40814352 is 25341804.

It is a super-2 number, since 2×408143522 = 3331622658359808, which contains 22 as substring.

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, 182913 + ... + 183135.

Almost surely, 240814352 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 40814352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60662784).

40814352 is an abundant number, since it is smaller than the sum of its proper divisors (80511216).

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

40814352 is a wasteful number, since it uses less digits than its factorization.

40814352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40814352 is about 6388.6111166669. The cubic root of 40814352 is about 344.3004856002.

The spelling of 40814352 in words is "forty million, eight hundred fourteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 223 246 248 279 328 369 372 446 492 496 558 656 669 738 744 892 984 1116 1271 1338 1476 1488 1784 1968 2007 2232 2542 2676 2952 3568 3813 4014 4464 5084 5352 5904 6913 7626 8028 9143 10168 10704 11439 13826 15252 16056 18286 20336 20739 22878 27429 27652 30504 32112 36572 41478 45756 54858 55304 61008 62217 73144 82287 82956 91512 109716 110608 124434 146288 164574 165912 183024 219432 248868 283433 329148 331824 438864 497736 566866 658296 850299 995472 1133732 1316592 1700598 2267464 2550897 3401196 4534928 5101794 6802392 10203588 13604784 20407176 40814352