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305252493 = 37131725373
BaseRepresentation
bin10010001100011…
…100100010001101
3210021101102200220
4102030130202031
51111121034433
650142341553
710364413650
oct2214344215
9707342626
10305252493
11147341797
128628a8b9
134b3197a0
142c77d897
151bbea2b3
hex1231c88d

305252493 has 96 divisors (see below), whose sum is σ = 549593856. Its totient is φ = 146644992.

The previous prime is 305252491. The next prime is 305252513. The reversal of 305252493 is 394252503.

It is not a de Polignac number, because 305252493 - 21 = 305252491 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305252491) 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, 4181505 + ... + 4181577.

It is an arithmetic number, because the mean of its divisors is an integer number (5724936).

Almost surely, 2305252493 is an apocalyptic number.

It is an amenable number.

305252493 is a deficient number, since it is larger than the sum of its proper divisors (244341363).

305252493 is a wasteful number, since it uses less digits than its factorization.

305252493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 305252493 is about 17471.4765546590. The cubic root of 305252493 is about 673.3172482243.

The spelling of 305252493 in words is "three hundred five million, two hundred fifty-two thousand, four hundred ninety-three".

Divisors: 1 3 7 13 17 21 39 51 53 73 91 119 159 219 221 273 289 357 371 511 663 689 867 901 949 1113 1241 1533 1547 2023 2067 2703 2847 3723 3757 3869 4641 4823 6069 6307 6643 8687 11271 11607 11713 14469 15317 16133 18921 19929 21097 26061 26299 27083 35139 45951 48399 50297 63291 65773 78897 81249 81991 107219 112931 147679 150891 197319 199121 245973 274261 321657 338793 352079 443037 460411 597363 822783 855049 1056237 1118141 1381233 1393847 1919827 2565147 3354423 4181541 5759481 5985343 7826987 14535833 17956029 23480961 43607499 101750831 305252493