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40220544 = 2737131151
BaseRepresentation
bin1001100101101…
…1011110000000
32210200102012210
42121123132000
540244024134
63554022120
7665604030
oct231333600
983612183
1040220544
1120781321
1211577940
138443050
1454ad8c0
1537e72e9
hex265b780

40220544 has 128 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 10598400.

The previous prime is 40220527. The next prime is 40220561. The reversal of 40220544 is 44502204.

It is an interprime number because it is at equal distance from previous prime (40220527) and next prime (40220561).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40220544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34369 + ... + 35519.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 240220544 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 40220544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

40220544 is an abundant number, since it is smaller than the sum of its proper divisors (91383936).

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

40220544 is a wasteful number, since it uses less digits than its factorization.

40220544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 40220544 is about 6341.9668873308. The cubic root of 40220544 is about 342.6225792439.

Adding to 40220544 its reverse (44502204), we get a palindrome (84722748).

The spelling of 40220544 in words is "forty million, two hundred twenty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1151 1248 1344 1456 1664 2184 2302 2496 2688 2912 3453 4368 4604 4992 5824 6906 8057 8736 9208 11648 13812 14963 16114 17472 18416 24171 27624 29926 32228 34944 36832 44889 48342 55248 59852 64456 73664 89778 96684 104741 110496 119704 128912 147328 179556 193368 209482 220992 239408 257824 314223 359112 386736 418964 441984 478816 515648 628446 718224 773472 837928 957632 1031296 1256892 1436448 1546944 1675856 1915264 2513784 2872896 3093888 3351712 5027568 5745792 6703424 10055136 13406848 20110272 40220544