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4769928 = 233417433
BaseRepresentation
bin10010001100100010001000
322222100010000
4102030202020
52210114203
6250123000
755354332
oct22144210
98870100
104769928
112768799
121720460
13cb0157
148c2452
156434a3
hex48c888

4769928 has 80 divisors (see below), whose sum is σ = 14178780. Its totient is φ = 1492992.

The previous prime is 4769923. The next prime is 4769957. The reversal of 4769928 is 8299674.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4743684 + 26244 = 2178^2 + 162^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4769923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10800 + ... + 11232.

Almost surely, 24769928 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 4769928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7089390).

4769928 is an abundant number, since it is smaller than the sum of its proper divisors (9408852).

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

4769928 is a wasteful number, since it uses less digits than its factorization.

4769928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 4769928 is about 2184.0164834543. The cubic root of 4769928 is about 168.3335211143. Note that the first 3 decimals are identical.

It can be divided in two parts, 476 and 9928, that added together give a square (10404 = 1022).

The spelling of 4769928 in words is "four million, seven hundred sixty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 433 459 612 648 866 918 1224 1299 1377 1732 1836 2598 2754 3464 3672 3897 5196 5508 7361 7794 10392 11016 11691 14722 15588 22083 23382 29444 31176 35073 44166 46764 58888 66249 70146 88332 93528 132498 140292 176664 198747 264996 280584 397494 529992 596241 794988 1192482 1589976 2384964 4769928