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40983272 = 23113741307
BaseRepresentation
bin1001110001010…
…1101011101000
32212010011110222
42130111223220
540442431042
64022225212
71005231521
oct234255350
985104428
1040983272
1121152380
1211885208
13864c275
14562b848
1538e82d2
hex2715ae8

40983272 has 64 divisors (see below), whose sum is σ = 88482240. Its totient is φ = 17625600.

The previous prime is 40983251. The next prime is 40983301. The reversal of 40983272 is 27238904.

40983272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133343 + ... + 133649.

It is an arithmetic number, because the mean of its divisors is an integer number (1382535).

Almost surely, 240983272 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 40983272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44241120).

40983272 is an abundant number, since it is smaller than the sum of its proper divisors (47498968).

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

40983272 is a wasteful number, since it uses less digits than its factorization.

40983272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 40983272 is about 6401.8178668250. The cubic root of 40983272 is about 344.7748219045.

It can be divided in two parts, 409832 and 72, that added together give a palindrome (409904).

The spelling of 40983272 in words is "forty million, nine hundred eighty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 37 41 44 74 82 88 148 164 296 307 328 407 451 614 814 902 1228 1517 1628 1804 2456 3034 3256 3377 3608 6068 6754 11359 12136 12587 13508 16687 22718 25174 27016 33374 45436 50348 66748 90872 100696 124949 133496 138457 249898 276914 465719 499796 553828 931438 999592 1107656 1862876 3725752 5122909 10245818 20491636 40983272