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495965850 = 23528997383
BaseRepresentation
bin11101100011111…
…101011010011010
31021120020200020120
4131203331122122
52003431401400
6121114134110
715201432402
oct3543753232
91246220216
10495965850
11234a61536
1211a121336
137b9a1b23
1449c25802
152d81cca0
hex1d8fd69a

495965850 has 96 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 129085440.

The previous prime is 495965819. The next prime is 495965851. The reversal of 495965850 is 58569594.

It is a junction number, because it is equal to n+sod(n) for n = 495965793 and 495965802.

It is not an unprimeable number, because it can be changed into a prime (495965851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1294759 + ... + 1295141.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2495965850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495965850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

495965850 is an abundant number, since it is smaller than the sum of its proper divisors (763953510).

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

495965850 is a wasteful number, since it uses less digits than its factorization.

495965850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The square root of 495965850 is about 22270.2907479898. The cubic root of 495965850 is about 791.5601545839.

The spelling of 495965850 in words is "four hundred ninety-five million, nine hundred sixty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 97 150 178 194 267 291 383 445 485 534 582 766 890 970 1149 1335 1455 1915 2225 2298 2425 2670 2910 3830 4450 4850 5745 6675 7275 8633 9575 11490 13350 14550 17266 19150 25899 28725 34087 37151 43165 51798 57450 68174 74302 86330 102261 111453 129495 170435 185755 204522 215825 222906 258990 340870 371510 431650 511305 557265 647475 852175 928775 1022610 1114530 1294950 1704350 1857550 2556525 2786325 3306439 5113050 5572650 6612878 9919317 16532195 19838634 33064390 49596585 82660975 99193170 165321950 247982925 495965850