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424200975 = 352114311193
BaseRepresentation
bin11001010010001…
…100101100001111
31002120012122100020
4121102030230033
51332043412400
6110032033223
713340435352
oct3122145417
91076178306
10424200975
111a84a5520
12ba092813
1369b65bc3
14404a4299
15273942a0
hex1948cb0f

424200975 has 48 divisors (see below), whose sum is σ = 767522304. Its totient is φ = 205024000.

The previous prime is 424200971. The next prime is 424200979. The reversal of 424200975 is 579002424.

It is an interprime number because it is at equal distance from previous prime (424200971) and next prime (424200979).

It is not a de Polignac number, because 424200975 - 22 = 424200971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424200971) 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, 354979 + ... + 356171.

It is an arithmetic number, because the mean of its divisors is an integer number (15990048).

Almost surely, 2424200975 is an apocalyptic number.

424200975 is a deficient number, since it is larger than the sum of its proper divisors (343321329).

424200975 is a wasteful number, since it uses less digits than its factorization.

424200975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 424200975 is about 20596.1398082262. The cubic root of 424200975 is about 751.3758301342.

The spelling of 424200975 in words is "four hundred twenty-four million, two hundred thousand, nine hundred seventy-five".

Divisors: 1 3 5 11 15 25 33 55 75 165 275 431 825 1193 1293 2155 3579 4741 5965 6465 10775 13123 14223 17895 23705 29825 32325 39369 65615 71115 89475 118525 196845 328075 355575 514183 984225 1542549 2570915 5656013 7712745 12854575 16968039 28280065 38563725 84840195 141400325 424200975