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40686984 = 233213172557
BaseRepresentation
bin1001101100110…
…1010110001000
32211120010001100
42123031112020
540403440414
64012021400
71002555642
oct233152610
984503040
1040686984
1120a6a808
1211761860
138577450
145591892
15388a609
hex26cd588

40686984 has 96 divisors (see below), whose sum is σ = 125700120. Its totient is φ = 11778048.

The previous prime is 40686979. The next prime is 40686991. The reversal of 40686984 is 48968604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32148900 + 8538084 = 5670^2 + 2922^2 .

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, 14634 + ... + 17190.

Almost surely, 240686984 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 40686984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62850060).

40686984 is an abundant number, since it is smaller than the sum of its proper divisors (85013136).

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

40686984 is a wasteful number, since it uses less digits than its factorization.

40686984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 40686984 is about 6378.6349636893. The cubic root of 40686984 is about 343.9419633478.

The spelling of 40686984 in words is "forty million, six hundred eighty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 34 36 39 51 52 68 72 78 102 104 117 136 153 156 204 221 234 306 312 408 442 468 612 663 884 936 1224 1326 1768 1989 2557 2652 3978 5114 5304 7671 7956 10228 15342 15912 20456 23013 30684 33241 43469 46026 61368 66482 86938 92052 99723 130407 132964 173876 184104 199446 260814 265928 299169 347752 391221 398892 521628 565097 598338 782442 797784 1043256 1130194 1196676 1564884 1695291 2260388 2393352 3129768 3390582 4520776 5085873 6781164 10171746 13562328 20343492 40686984