Search a number
-
+
40918416 = 24371111071
BaseRepresentation
bin1001110000010…
…1110110010000
32211222212111220
42130011312100
540433342131
64021005040
71004541450
oct234056620
984885456
1040918416
1121108680
1211853780
1386288a6
145611d60
1538d3e96
hex2705d90

40918416 has 80 divisors (see below), whose sum is σ = 131801088. Its totient is φ = 10627200.

The previous prime is 40918399. The next prime is 40918417. The reversal of 40918416 is 61481904.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (40918417) 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, 1840 + ... + 9231.

Almost surely, 240918416 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 40918416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65900544).

40918416 is an abundant number, since it is smaller than the sum of its proper divisors (90882672).

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

40918416 is a wasteful number, since it uses less digits than its factorization.

40918416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 40918416 is about 6396.7504250205. The cubic root of 40918416 is about 344.5928572442.

The spelling of 40918416 in words is "forty million, nine hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 11071 22142 33213 44284 66426 77497 88568 121781 132852 154994 177136 232491 243562 265704 309988 365343 464982 487124 531408 619976 730686 852467 929964 974248 1239952 1461372 1704934 1859928 1948496 2557401 2922744 3409868 3719856 5114802 5845488 6819736 10229604 13639472 20459208 40918416