Search a number
-
+
40760352 = 2532141529
BaseRepresentation
bin1001101101111…
…1010000100000
32211200211200200
42123133100200
540413312402
64013345200
71003312563
oct233372040
984624620
1040760352
112100a946
1211798200
1385a1969
1455b04da
1538a221c
hex26df420

40760352 has 36 divisors (see below), whose sum is σ = 115913070. Its totient is φ = 13586688.

The previous prime is 40760323. The next prime is 40760359. The reversal of 40760352 is 25306704.

It is a happy number.

40760352 is a `hidden beast` number, since 4 + 0 + 7 + 603 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39992976 + 767376 = 6324^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×407603522 = 3322812590327808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40760359) 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, 70477 + ... + 71052.

Almost surely, 240760352 is an apocalyptic number.

It is an amenable number.

40760352 is an abundant number, since it is smaller than the sum of its proper divisors (75152718).

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

40760352 is a wasteful number, since it uses less digits than its factorization.

40760352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141545 (or 141534 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40760352 is about 6384.3834471310. The cubic root of 40760352 is about 344.1485747248.

The spelling of 40760352 in words is "forty million, seven hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 141529 283058 424587 566116 849174 1132232 1273761 1698348 2264464 2547522 3396696 4528928 5095044 6793392 10190088 13586784 20380176 40760352