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4936064 = 2772787
BaseRepresentation
bin10010110101000110000000
3100021210000012
4102311012000
52230423224
6253444052
756645600
oct22650600
910253005
104936064
1128715a1
1217a0628
13103a963
14926c00
1567780e
hex4b5180

4936064 has 48 divisors (see below), whose sum is σ = 11453580. Its totient is φ = 2112768.

The previous prime is 4936033. The next prime is 4936073. The reversal of 4936064 is 4606394.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4936064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5879 + ... + 6665.

Almost surely, 24936064 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 4936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5726790).

4936064 is an abundant number, since it is smaller than the sum of its proper divisors (6517516).

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

4936064 is an equidigital number, since it uses as much as digits as its factorization.

4936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 4936064 is about 2221.7254555863. The cubic root of 4936064 is about 170.2656055668.

The spelling of 4936064 in words is "four million, nine hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 787 896 1568 1574 3136 3148 5509 6272 6296 11018 12592 22036 25184 38563 44072 50368 77126 88144 100736 154252 176288 308504 352576 617008 705152 1234016 2468032 4936064