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40884660 = 223251731431
BaseRepresentation
bin1001101111110…
…1100110110100
32211221011012200
42123331212310
540431302120
64020144500
71004341155
oct233754664
984834180
1040884660
1121095283
1211838130
13861640b
14560392c
1538c8e90
hex26fd9b4

40884660 has 144 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 9907200.

The previous prime is 40884659. The next prime is 40884661. The reversal of 40884660 is 6648804.

It is an interprime number because it is at equal distance from previous prime (40884659) and next prime (40884661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40884661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94645 + ... + 95075.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 240884660 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 40884660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

40884660 is an abundant number, since it is smaller than the sum of its proper divisors (94977612).

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

40884660 is a wasteful number, since it uses less digits than its factorization.

40884660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 40884660 is about 6394.1113534251. Note that the first 3 decimals coincide. The cubic root of 40884660 is about 344.4980728924.

The spelling of 40884660 in words is "forty million, eight hundred eighty-four thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 431 465 510 527 558 612 620 765 862 930 1020 1054 1116 1293 1395 1530 1581 1724 1860 2108 2155 2586 2635 2790 3060 3162 3879 4310 4743 5172 5270 5580 6324 6465 7327 7758 7905 8620 9486 10540 12930 13361 14654 15516 15810 18972 19395 21981 23715 25860 26722 29308 31620 36635 38790 40083 43962 47430 53444 65943 66805 73270 77580 80166 87924 94860 109905 120249 131886 133610 146540 160332 200415 219810 227137 240498 263772 267220 329715 400830 439620 454274 480996 601245 659430 681411 801660 908548 1135685 1202490 1318860 1362822 2044233 2271370 2404980 2725644 3407055 4088466 4542740 6814110 8176932 10221165 13628220 20442330 40884660