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5006376 = 2332312243
BaseRepresentation
bin10011000110010000101000
3100102100110100
4103012100220
52240201001
6255145400
760360564
oct23062050
910370410
105006376
11290a401
121815260
13106396b
149446a4
1568d586
hex4c6428

5006376 has 48 divisors (see below), whose sum is σ = 14002560. Its totient is φ = 1614240.

The previous prime is 5006369. The next prime is 5006377. The reversal of 5006376 is 6736005.

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

It is not an unprimeable number, because it can be changed into a prime (5006377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1111 + ... + 3353.

It is an arithmetic number, because the mean of its divisors is an integer number (291720).

Almost surely, 25006376 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 5006376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001280).

5006376 is an abundant number, since it is smaller than the sum of its proper divisors (8996184).

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

5006376 is a wasteful number, since it uses less digits than its factorization.

5006376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 5006376 is about 2237.4932402133. The cubic root of 5006376 is about 171.0702491710.

The spelling of 5006376 in words is "five million, six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2243 4486 6729 8972 13458 17944 20187 26916 40374 53832 69533 80748 139066 161496 208599 278132 417198 556264 625797 834396 1251594 1668792 2503188 5006376