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4768335 = 3351113219
BaseRepresentation
bin10010001100001001001111
322222020221000
4102030021033
52210041320
6250111343
755346565
oct22141117
98866830
104768335
112767580
12171b553
13cac500
148c1a35
15642c90
hex48c24f

4768335 has 96 divisors (see below), whose sum is σ = 10540800. Its totient is φ = 2021760.

The previous prime is 4768331. The next prime is 4768339. The reversal of 4768335 is 5338674.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4768331) and next prime (4768339).

It is not a de Polignac number, because 4768335 - 22 = 4768331 is a prime.

Its product of digits (60480) is a multiple of the sum of its prime factors (70).

It is a self number, because there is not a number n which added to its sum of digits gives 4768335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4768331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250956 + ... + 250974.

It is an arithmetic number, because the mean of its divisors is an integer number (109800).

Almost surely, 24768335 is an apocalyptic number.

4768335 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4768335 is an abundant number, since it is smaller than the sum of its proper divisors (5772465).

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

4768335 is a wasteful number, since it uses less digits than its factorization.

4768335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 4768335 is about 2183.6517579504. The cubic root of 4768335 is about 168.3147797303.

The spelling of 4768335 in words is "four million, seven hundred sixty-eight thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 13 15 19 27 33 39 45 55 57 65 95 99 117 135 143 165 169 171 195 209 247 285 297 351 429 495 507 513 585 627 715 741 845 855 1045 1235 1287 1485 1521 1755 1859 1881 2145 2223 2535 2565 2717 3135 3211 3705 3861 4563 5577 5643 6435 6669 7605 8151 9295 9405 9633 11115 13585 16055 16731 19305 22815 24453 27885 28215 28899 33345 35321 40755 48165 50193 73359 83655 86697 105963 122265 144495 176605 250965 317889 366795 433485 529815 953667 1589445 4768335