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4940768 = 257223137
BaseRepresentation
bin10010110110001111100000
3100022000110102
4102312033200
52231101033
6253521532
756665400
oct22661740
910260412
104940768
112875088
1217a32a8
13103cb41
14928800
15678de8
hex4b63e0

4940768 has 72 divisors (see below), whose sum is σ = 11893392. Its totient is φ = 2010624.

The previous prime is 4940753. The next prime is 4940797. The reversal of 4940768 is 8670494.

It is a happy number.

It is a super-2 number, since 2×49407682 = 48822376859648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35996 + ... + 36132.

It is an arithmetic number, because the mean of its divisors is an integer number (165186).

Almost surely, 24940768 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 4940768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946696).

4940768 is an abundant number, since it is smaller than the sum of its proper divisors (6952624).

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

4940768 is a wasteful number, since it uses less digits than its factorization.

4940768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4940768 is about 2222.7838401428. The cubic root of 4940768 is about 170.3196753086.

The spelling of 4940768 in words is "four million, nine hundred forty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 137 161 184 196 224 274 322 368 392 548 644 736 784 959 1096 1127 1288 1568 1918 2192 2254 2576 3151 3836 4384 4508 5152 6302 6713 7672 9016 12604 13426 15344 18032 22057 25208 26852 30688 36064 44114 50416 53704 88228 100832 107408 154399 176456 214816 308798 352912 617596 705824 1235192 2470384 4940768