Search a number
-
+
40001376 = 2532691549
BaseRepresentation
bin1001100010010…
…1111101100000
32210021021120110
42120211331200
540220021001
63545211320
7664002042
oct230457540
983237513
1040001376
1120641698
1211490b40
13839736c
145453a92
1537a23d6
hex2625f60

40001376 has 48 divisors (see below), whose sum is σ = 105462000. Its totient is φ = 13275648.

The previous prime is 40001359. The next prime is 40001387. The reversal of 40001376 is 67310004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×400013762 = 3200220163786752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25050 + ... + 26598.

It is an arithmetic number, because the mean of its divisors is an integer number (2197125).

Almost surely, 240001376 is an apocalyptic number.

It is an amenable number.

40001376 is an abundant number, since it is smaller than the sum of its proper divisors (65460624).

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

40001376 is a wasteful number, since it uses less digits than its factorization.

40001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 40001376 is about 6324.6641017528. The cubic root of 40001376 is about 341.9991108352. Note that the first 3 decimals are identical.

The spelling of 40001376 in words is "forty million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1549 1614 2152 3098 3228 4304 4647 6196 6456 8608 9294 12392 12912 18588 24784 25824 37176 49568 74352 148704 416681 833362 1250043 1666724 2500086 3333448 5000172 6666896 10000344 13333792 20000688 40001376