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40899768 = 23371361307
BaseRepresentation
bin1001110000000…
…1010010111000
32211221220221020
42130001102320
540432243033
64020342440
71004433210
oct234012270
984856836
1040899768
11210a5668
1211844a20
138620260
145609240
1538cd6b3
hex27014b8

40899768 has 128 divisors (see below), whose sum is σ = 128325120. Its totient is φ = 10575360.

The previous prime is 40899701. The next prime is 40899769. The reversal of 40899768 is 86799804.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 40899768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40899769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133071 + ... + 133377.

It is an arithmetic number, because the mean of its divisors is an integer number (1002540).

Almost surely, 240899768 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 40899768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64162560).

40899768 is an abundant number, since it is smaller than the sum of its proper divisors (87425352).

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

40899768 is a wasteful number, since it uses less digits than its factorization.

40899768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 40899768 is about 6395.2926438123. The cubic root of 40899768 is about 344.5405014864.

The spelling of 40899768 in words is "forty million, eight hundred ninety-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 61 78 84 91 104 122 156 168 182 183 244 273 307 312 364 366 427 488 546 614 728 732 793 854 921 1092 1228 1281 1464 1586 1708 1842 2149 2184 2379 2456 2562 3172 3416 3684 3991 4298 4758 5124 5551 6344 6447 7368 7982 8596 9516 10248 11102 11973 12894 15964 16653 17192 18727 19032 22204 23946 25788 27937 31928 33306 37454 44408 47892 51576 55874 56181 66612 74908 83811 95784 111748 112362 131089 133224 149816 167622 223496 224724 243451 262178 335244 393267 449448 486902 524356 670488 730353 786534 973804 1048712 1460706 1573068 1704157 1947608 2921412 3146136 3408314 5112471 5842824 6816628 10224942 13633256 20449884 40899768