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40061472 = 2531159643
BaseRepresentation
bin1001100011010…
…0101000100000
32210101100000020
42120310220200
540223431342
63550353440
7664342203
oct230645040
983340006
1040061472
1120682860
12114bb880
1383b8819
14546b93a
1537b50ec
hex2634a20

40061472 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 11915520.

The previous prime is 40061467. The next prime is 40061477. The reversal of 40061472 is 27416004.

It is an interprime number because it is at equal distance from previous prime (40061467) and next prime (40061477).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40061477) 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, 61983 + ... + 62625.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 240061472 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 40061472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

40061472 is an abundant number, since it is smaller than the sum of its proper divisors (76785888).

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

40061472 is a wasteful number, since it uses less digits than its factorization.

40061472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 40061472 is about 6329.4132429476. The cubic root of 40061472 is about 342.1702924021.

Adding to 40061472 its reverse (27416004), we get a palindrome (67477476).

The spelling of 40061472 in words is "forty million, sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 88 96 118 132 176 177 236 264 352 354 472 528 643 649 708 944 1056 1286 1298 1416 1888 1929 1947 2572 2596 2832 3858 3894 5144 5192 5664 7073 7716 7788 10288 10384 14146 15432 15576 20576 20768 21219 28292 30864 31152 37937 42438 56584 61728 62304 75874 84876 113168 113811 151748 169752 226336 227622 303496 339504 417307 455244 606992 679008 834614 910488 1213984 1251921 1669228 1820976 2503842 3338456 3641952 5007684 6676912 10015368 13353824 20030736 40061472