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40585272 = 23371318583
BaseRepresentation
bin1001101011010…
…0100000111000
32211100221112020
42122310200320
540342212042
64005514440
71001653260
oct232644070
984327466
1040585272
1120a00352
1211712a20
138540070
1455667a0
15386a3ec
hex26b4838

40585272 has 64 divisors (see below), whose sum is σ = 124884480. Its totient is φ = 10703232.

The previous prime is 40585253. The next prime is 40585277. The reversal of 40585272 is 27258504.

Added to its reverse (27258504) it gives a triangular number (67843776 = T11648).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40585277) by changing a digit.

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, 7108 + ... + 11475.

It is an arithmetic number, because the mean of its divisors is an integer number (1951320).

Almost surely, 240585272 is an apocalyptic number.

40585272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

40585272 is an abundant number, since it is smaller than the sum of its proper divisors (84299208).

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

40585272 is a wasteful number, since it uses less digits than its factorization.

40585272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18612 (or 18608 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 40585272 is about 6370.6571089645. The cubic root of 40585272 is about 343.6551212749.

Adding to 40585272 its reverse (27258504), we get a triangular number (67843776 = T11648).

The spelling of 40585272 in words is "forty million, five hundred eighty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 18583 37166 55749 74332 111498 130081 148664 222996 241579 260162 390243 445992 483158 520324 724737 780486 966316 1040648 1449474 1560972 1691053 1932632 2898948 3121944 3382106 5073159 5797896 6764212 10146318 13528424 20292636 40585272