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4696965 = 3257133137
BaseRepresentation
bin10001111010101110000101
322211122000200
4101322232011
52200300330
6244401113
754631530
oct21725605
98748020
104696965
112718999
1216a6199
13c85b90
148a3a17
1562ba60
hex47ab85

4696965 has 96 divisors (see below), whose sum is σ = 10622976. Its totient is φ = 1866240.

The previous prime is 4696961. The next prime is 4696973. The reversal of 4696965 is 5696964.

It is not a de Polignac number, because 4696965 - 22 = 4696961 is a prime.

It is a super-2 number, since 2×46969652 = 44122960422450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (349920) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4696965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4696961) 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, 126927 + ... + 126963.

It is an arithmetic number, because the mean of its divisors is an integer number (110656).

Almost surely, 24696965 is an apocalyptic number.

4696965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4696965 is an abundant number, since it is smaller than the sum of its proper divisors (5926011).

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

4696965 is a wasteful number, since it uses less digits than its factorization.

4696965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 96 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 4696965 is about 2167.2482552767. The cubic root of 4696965 is about 167.4708050401.

Subtracting 4696965 from its reverse (5696964), we obtain a palindrome (999999).

The spelling of 4696965 in words is "four million, six hundred ninety-six thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 9 13 15 21 31 35 37 39 45 63 65 91 93 105 111 117 155 185 195 217 259 273 279 315 333 403 455 465 481 555 585 651 777 819 1085 1147 1209 1295 1365 1395 1443 1665 1953 2015 2331 2405 2821 3255 3367 3441 3627 3885 4095 4329 5735 6045 7215 8029 8463 9765 10101 10323 11655 14105 14911 16835 17205 18135 21645 24087 25389 30303 40145 42315 44733 50505 51615 72261 74555 104377 120435 126945 134199 151515 223665 313131 361305 521885 670995 939393 1565655 4696965