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40486272 = 273591787
BaseRepresentation
bin1001101001110…
…0010110000000
32211011220201120
42122130112000
540331030042
64003432240
71001061531
oct232342600
984156646
1040486272
1120942a32
1211685680
138506c98
14553c688
15384adec
hex269c580

40486272 has 64 divisors (see below), whose sum is σ = 109425600. Its totient is φ = 13259264.

The previous prime is 40486267. The next prime is 40486273. The reversal of 40486272 is 27268404.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40486273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21763 + ... + 23549.

It is an arithmetic number, because the mean of its divisors is an integer number (1709775).

Almost surely, 240486272 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 40486272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54712800).

40486272 is an abundant number, since it is smaller than the sum of its proper divisors (68939328).

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

40486272 is a wasteful number, since it uses less digits than its factorization.

40486272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 40486272 is about 6362.8823657207. The cubic root of 40486272 is about 343.3754668079.

The spelling of 40486272 in words is "forty million, four hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1787 1888 2832 3574 3776 5361 5664 7148 7552 10722 11328 14296 21444 22656 28592 42888 57184 85776 105433 114368 171552 210866 228736 316299 343104 421732 632598 686208 843464 1265196 1686928 2530392 3373856 5060784 6747712 10121568 13495424 20243136 40486272