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4962636 = 2232747419
BaseRepresentation
bin10010111011100101001100
3100100010110100
4102323211030
52232301021
6254211100
760116220
oct22734514
910303410
104962636
11288a558
1217b3a90
131049a93
14932780
15680626
hex4bb94c

4962636 has 72 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1384416.

The previous prime is 4962631. The next prime is 4962637. The reversal of 4962636 is 6362694.

4962636 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 43 + 93 + 65 + 29 + 68 + 313 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 4962636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4962631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11635 + ... + 12053.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

Almost surely, 24962636 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 4962636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4962636 is an abundant number, since it is smaller than the sum of its proper divisors (9713844).

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

4962636 is a wasteful number, since it uses less digits than its factorization.

4962636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 478 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 4962636 is about 2227.6974659949. The cubic root of 4962636 is about 170.5705856352.

The spelling of 4962636 in words is "four million, nine hundred sixty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 419 423 564 658 838 846 987 1257 1316 1676 1692 1974 2514 2933 2961 3771 3948 5028 5866 5922 7542 8799 11732 11844 15084 17598 19693 26397 35196 39386 52794 59079 78772 105588 118158 137851 177237 236316 275702 354474 413553 551404 708948 827106 1240659 1654212 2481318 4962636