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40224856 = 23717293147
BaseRepresentation
bin1001100101110…
…0100001011000
32210200122010111
42121130201120
540244143411
63554054104
7665622430
oct231344130
983618114
1040224856
1120784591
121157a334
138444cb9
1454b12c0
1537e8721
hex265c858

40224856 has 128 divisors (see below), whose sum is σ = 99532800. Its totient is φ = 14837760.

The previous prime is 40224853. The next prime is 40224859. The reversal of 40224856 is 65842204.

It is an interprime number because it is at equal distance from previous prime (40224853) and next prime (40224859).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 855825 + ... + 855871.

It is an arithmetic number, because the mean of its divisors is an integer number (777600).

Almost surely, 240224856 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 40224856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49766400).

40224856 is an abundant number, since it is smaller than the sum of its proper divisors (59307944).

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

40224856 is a wasteful number, since it uses less digits than its factorization.

40224856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 40224856 is about 6342.3068358445. The cubic root of 40224856 is about 342.6348228688.

The spelling of 40224856 in words is "forty million, two hundred twenty-four thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 29 31 34 47 56 58 62 68 94 116 119 124 136 188 203 217 232 238 248 329 376 406 434 476 493 527 658 799 812 868 899 952 986 1054 1316 1363 1457 1598 1624 1736 1798 1972 2108 2632 2726 2914 3196 3451 3596 3689 3944 4216 5452 5593 5828 6293 6392 6902 7192 7378 9541 10199 10904 11186 11656 12586 13804 14756 15283 19082 20398 22372 23171 24769 25172 27608 29512 30566 38164 40796 42253 44744 46342 49538 50344 61132 76328 81592 84506 92684 99076 106981 122264 162197 169012 173383 185368 198152 213962 295771 324394 338024 346766 427924 591542 648788 693532 718301 855848 1183084 1297576 1387064 1436602 2366168 2873204 5028107 5746408 10056214 20112428 40224856