Search a number
-
+
40005376 = 2831712
BaseRepresentation
bin1001100010011…
…0111100000000
32210021111001121
42120212330000
540220133001
63545242024
7664016515
oct230467400
983244047
1040005376
11206446a4
1211493314
138399128
14545530c
1537a36a1
hex2626f00

40005376 has 54 divisors (see below), whose sum is σ = 83607776. Its totient is φ = 19084800.

The previous prime is 40005373. The next prime is 40005377. The reversal of 40005376 is 67350004.

It is a self number, because there is not a number n which added to its sum of digits gives 40005376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40005373) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 563421 + ... + 563491.

Almost surely, 240005376 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 40005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41803888).

40005376 is an abundant number, since it is smaller than the sum of its proper divisors (43602400).

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

40005376 is an frugal number, since it uses more digits than its factorization.

40005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 40005376 is about 6324.9803161749. The cubic root of 40005376 is about 342.0105100335.

The spelling of 40005376 in words is "forty million, five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 568 992 1136 1984 2201 2272 3968 4402 4544 5041 7936 8804 9088 10082 17608 18176 20164 35216 40328 70432 80656 140864 156271 161312 281728 312542 322624 563456 625084 645248 1250168 1290496 2500336 5000672 10001344 20002688 40005376