Search a number
-
+
40977904 = 24112353191
BaseRepresentation
bin1001110001010…
…0010111110000
32212002220010011
42130110113300
540442243104
64022144304
71005210052
oct234242760
985086104
1040977904
1121149340
1211882094
1386499a6
1456298d2
1538e6904
hex27145f0

40977904 has 80 divisors (see below), whose sum is σ = 92565504. Its totient is φ = 17388800.

The previous prime is 40977887. The next prime is 40977913.

40977904 is nontrivially palindromic in base 10.

It is a congruent number.

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, 214449 + ... + 214639.

Almost surely, 240977904 is an apocalyptic number.

40977904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40977904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46282752).

40977904 is an abundant number, since it is smaller than the sum of its proper divisors (51587600).

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

40977904 is a wasteful number, since it uses less digits than its factorization.

40977904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 40977904 is about 6401.3985971817. The cubic root of 40977904 is about 344.7597683476.

The spelling of 40977904 in words is "forty million, nine hundred seventy-seven thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 23 44 46 53 88 92 106 176 184 191 212 253 368 382 424 506 583 764 848 1012 1166 1219 1528 2024 2101 2332 2438 3056 4048 4202 4393 4664 4876 8404 8786 9328 9752 10123 13409 16808 17572 19504 20246 26818 33616 35144 40492 48323 53636 70288 80984 96646 107272 111353 161968 193292 214544 222706 232829 386584 445412 465658 773168 890824 931316 1781648 1862632 2561119 3725264 5122238 10244476 20488952 40977904