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506706852 = 2231031972081
BaseRepresentation
bin11110001100111…
…011101110100100
31022022110101010110
4132030323232210
52014204104402
6122140253020
715361636311
oct3614735644
91268411113
10506706852
112400283a3
12121841170
1380c92a52
144b41dd08
152e74056c
hex1e33bba4

506706852 has 48 divisors (see below), whose sum is σ = 1200431232. Its totient is φ = 166333440.

The previous prime is 506706829. The next prime is 506706881. The reversal of 506706852 is 258607605.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 506706852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242452 + ... + 244532.

It is an arithmetic number, because the mean of its divisors is an integer number (25008984).

Almost surely, 2506706852 is an apocalyptic number.

It is an amenable number.

506706852 is an abundant number, since it is smaller than the sum of its proper divisors (693724380).

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

506706852 is a wasteful number, since it uses less digits than its factorization.

506706852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 506706852 is about 22510.1499772880. The cubic root of 506706852 is about 797.2335968772.

The spelling of 506706852 in words is "five hundred six million, seven hundred six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 12 103 197 206 309 394 412 591 618 788 1182 1236 2081 2364 4162 6243 8324 12486 20291 24972 40582 60873 81164 121746 214343 243492 409957 428686 643029 819914 857372 1229871 1286058 1639828 2459742 2572116 4919484 42225571 84451142 126676713 168902284 253353426 506706852