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40315644 = 2235193759
BaseRepresentation
bin1001100111001…
…0101011111100
32210212020200000
42121302223330
540310100034
64000034300
7666451215
oct231625374
983766600
1040315644
1120836816
1211602990
138477415
1454d640c
153815599
hex2672afc

40315644 has 144 divisors (see below), whose sum is σ = 116188800. Its totient is φ = 12177216.

The previous prime is 40315631. The next prime is 40315657. The reversal of 40315644 is 44651304.

40315644 is a `hidden beast` number, since 4 + 0 + 3 + 15 + 644 = 666.

It is an interprime number because it is at equal distance from previous prime (40315631) and next prime (40315657).

It is a super-2 number, since 2×403156442 = 3250702302269472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683287 + ... + 683345.

Almost surely, 240315644 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 40315644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58094400).

40315644 is an abundant number, since it is smaller than the sum of its proper divisors (75873156).

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

40315644 is a wasteful number, since it uses less digits than its factorization.

40315644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 40315644 is about 6349.4601345311. The cubic root of 40315644 is about 342.8924061944.

Adding to 40315644 its reverse (44651304), we get a palindrome (84966948).

The spelling of 40315644 in words is "forty million, three hundred fifteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 59 74 76 81 108 111 114 118 148 162 171 177 222 228 236 243 324 333 342 354 444 486 513 531 666 684 703 708 972 999 1026 1062 1121 1332 1406 1539 1593 1998 2052 2109 2124 2183 2242 2812 2997 3078 3186 3363 3996 4218 4366 4484 4617 4779 5994 6156 6327 6372 6549 6726 8436 8732 8991 9234 9558 10089 11988 12654 13098 13452 14337 17982 18468 18981 19116 19647 20178 25308 26196 28674 30267 35964 37962 39294 40356 41477 56943 57348 58941 60534 75924 78588 82954 90801 113886 117882 121068 124431 165908 170829 176823 181602 227772 235764 248862 272403 341658 353646 363204 373293 497724 530469 544806 683316 707292 746586 1060938 1089612 1119879 1493172 2121876 2239758 3359637 4479516 6719274 10078911 13438548 20157822 40315644