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40409616 = 24313312089
BaseRepresentation
bin1001101000100…
…1101000010000
32211001000120110
42122021220100
540321101431
64002041320
71000322202
oct232115020
984030513
1040409616
11208a0385
1211649240
1384ab120
14551c772
153833346
hex2689a10

40409616 has 80 divisors (see below), whose sum is σ = 116103680. Its totient is φ = 12026880.

The previous prime is 40409581. The next prime is 40409651. The reversal of 40409616 is 61690404.

It is an interprime number because it is at equal distance from previous prime (40409581) and next prime (40409651).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18300 + ... + 20388.

It is an arithmetic number, because the mean of its divisors is an integer number (1451296).

Almost surely, 240409616 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 40409616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58051840).

40409616 is an abundant number, since it is smaller than the sum of its proper divisors (75694064).

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

40409616 is a wasteful number, since it uses less digits than its factorization.

40409616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40409616 is about 6356.8558265860. The cubic root of 40409616 is about 343.1586161869.

The spelling of 40409616 in words is "forty million, four hundred nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 93 104 124 156 186 208 248 312 372 403 496 624 744 806 1209 1488 1612 2089 2418 3224 4178 4836 6267 6448 8356 9672 12534 16712 19344 25068 27157 33424 50136 54314 64759 81471 100272 108628 129518 162942 194277 217256 259036 325884 388554 434512 518072 651768 777108 841867 1036144 1303536 1554216 1683734 2525601 3108432 3367468 5051202 6734936 10102404 13469872 20204808 40409616