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4620768 = 253127379
BaseRepresentation
bin10001101000000111100000
322200202111120
4101220013200
52140331033
6243012240
754163425
oct21500740
98622446
104620768
112676719
12166a080
13c5a2a9
14883d4c
156141b3
hex4681e0

4620768 has 48 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 1524096.

The previous prime is 4620761. The next prime is 4620779. The reversal of 4620768 is 8670264.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4620761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12003 + ... + 12381.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 24620768 is an apocalyptic number.

4620768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4620768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

4620768 is an abundant number, since it is smaller than the sum of its proper divisors (7636512).

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

4620768 is a wasteful number, since it uses less digits than its factorization.

4620768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4620768 is about 2149.5971715649. The cubic root of 4620768 is about 166.5602591903.

The spelling of 4620768 in words is "four million, six hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 379 381 508 758 762 1016 1137 1516 1524 2032 2274 3032 3048 4064 4548 6064 6096 9096 12128 12192 18192 36384 48133 96266 144399 192532 288798 385064 577596 770128 1155192 1540256 2310384 4620768