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40225440 = 2535181463
BaseRepresentation
bin1001100101110…
…0101010100000
32210200122221010
42121130222200
540244203230
63554100520
7665624223
oct231345240
983618833
1040225440
1120784a72
121157a740
138445348
1454b15ba
1537e89b0
hex265caa0

40225440 has 96 divisors (see below), whose sum is σ = 127685376. Its totient is φ = 10644480.

The previous prime is 40225429. The next prime is 40225487. The reversal of 40225440 is 4452204.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 86649 + ... + 87111.

It is an arithmetic number, because the mean of its divisors is an integer number (1330056).

Almost surely, 240225440 is an apocalyptic number.

40225440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63842688).

40225440 is an abundant number, since it is smaller than the sum of its proper divisors (87459936).

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

40225440 is a wasteful number, since it uses less digits than its factorization.

40225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

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

The square root of 40225440 is about 6342.3528757079. The cubic root of 40225440 is about 342.6364810291.

Adding to 40225440 its reverse (4452204), we get a palindrome (44677644).

The spelling of 40225440 in words is "forty million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 181 240 362 463 480 543 724 905 926 1086 1389 1448 1810 1852 2172 2315 2715 2778 2896 3620 3704 4344 4630 5430 5556 5792 6945 7240 7408 8688 9260 10860 11112 13890 14480 14816 17376 18520 21720 22224 27780 28960 37040 43440 44448 55560 74080 83803 86880 111120 167606 222240 251409 335212 419015 502818 670424 838030 1005636 1257045 1340848 1676060 2011272 2514090 2681696 3352120 4022544 5028180 6704240 8045088 10056360 13408480 20112720 40225440