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40976384 = 2144161
BaseRepresentation
bin1001110001010…
…0000000000000
32212002211000212
42130110000000
540442221014
64022133252
71005202451
oct234240000
985084025
1040976384
1121148189
1211881228
1386490a7
145629128
1538e623e
hex2714000

40976384 has 60 divisors (see below), whose sum is σ = 85325268. Its totient is φ = 19660800.

The previous prime is 40976359. The next prime is 40976413. The reversal of 40976384 is 48367904.

It can be written as a sum of positive squares in 2 ways, for example, as 1638400 + 39337984 = 1280^2 + 6272^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 671714 + ... + 671774.

Almost surely, 240976384 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 40976384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42662634).

40976384 is an abundant number, since it is smaller than the sum of its proper divisors (44348884).

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

40976384 is an frugal number, since it uses more digits than its factorization.

40976384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 40976384 is about 6401.2798720256. The cubic root of 40976384 is about 344.7555055517.

The spelling of 40976384 in words is "forty million, nine hundred seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 61 64 82 122 128 164 244 256 328 488 512 656 976 1024 1312 1952 2048 2501 2624 3904 4096 5002 5248 7808 8192 10004 10496 15616 16384 20008 20992 31232 40016 41984 62464 80032 83968 124928 160064 167936 249856 320128 335872 499712 640256 671744 999424 1280512 2561024 5122048 10244096 20488192 40976384