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40816048 = 2471317297
BaseRepresentation
bin1001101110110…
…0110110110000
32211210200002111
42123230312300
540422103143
64014455104
71003634140
oct233546660
984720074
1040816048
1121048779
1211804494
1385c1110
1455c6920
1538b399d
hex26ecdb0

40816048 has 120 divisors (see below), whose sum is σ = 104458592. Its totient is φ = 15040512.

The previous prime is 40816003. The next prime is 40816049. The reversal of 40816048 is 84061804.

It is not an unprimeable number, because it can be changed into a prime (40816049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420736 + ... + 420832.

Almost surely, 240816048 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 40816048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52229296).

40816048 is an abundant number, since it is smaller than the sum of its proper divisors (63642544).

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

40816048 is a wasteful number, since it uses less digits than its factorization.

40816048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 40816048 is about 6388.7438514938. The cubic root of 40816048 is about 344.3052545561.

The spelling of 40816048 in words is "forty million, eight hundred sixteen thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 97 104 112 119 136 182 194 208 221 238 272 289 364 388 442 476 578 679 728 776 884 952 1156 1261 1358 1456 1547 1552 1649 1768 1904 2023 2312 2522 2716 3094 3298 3536 3757 4046 4624 5044 5432 6188 6596 7514 8092 8827 10088 10864 11543 12376 13192 15028 16184 17654 20176 21437 23086 24752 26299 26384 28033 30056 32368 35308 42874 46172 52598 56066 60112 70616 85748 92344 105196 112132 141232 150059 171496 184688 196231 210392 224264 300118 342992 364429 392462 420784 448528 600236 728858 784924 1200472 1457716 1569848 2400944 2551003 2915432 3139696 5102006 5830864 10204012 20408024 40816048