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40025440 = 2557132749
BaseRepresentation
bin1001100010101…
…1110101100000
32210022111120201
42120223311200
540221303230
63545514544
7664132150
oct230536540
983274521
1040025440
1120658784
12114a2a54
1383a52c0
14545c760
1537a95ca
hex262bd60

40025440 has 96 divisors (see below), whose sum is σ = 116424000. Its totient is φ = 12662784.

The previous prime is 40025417. The next prime is 40025443. The reversal of 40025440 is 4452004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40025443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13186 + ... + 15934.

It is an arithmetic number, because the mean of its divisors is an integer number (1212750).

Almost surely, 240025440 is an apocalyptic number.

40025440 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 40025440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58212000).

40025440 is an abundant number, since it is smaller than the sum of its proper divisors (76398560).

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

40025440 is a wasteful number, since it uses less digits than its factorization.

40025440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 40025440 is about 6326.5662092481. The cubic root of 40025440 is about 342.0676769503.

Adding to 40025440 its reverse (4452004), we get a palindrome (44477444).

The spelling of 40025440 in words is "forty million, twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2749 2912 3640 5498 7280 10996 13745 14560 19243 21992 27490 35737 38486 43984 54980 71474 76972 87968 96215 109960 142948 153944 178685 192430 219920 250159 285896 307888 357370 384860 439840 500318 571792 615776 714740 769720 1000636 1143584 1250795 1429480 1539440 2001272 2501590 2858960 3078880 4002544 5003180 5717920 8005088 10006360 20012720 40025440