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66242436 = 223131922349
BaseRepresentation
bin1111110010110…
…0011110000100
311121122110112120
43330230132010
5113424224221
610323445540
71433023431
oct374543604
9147573476
1066242436
1134434a17
121a2268b0
1310954410
148b24b88
155c375c6
hex3f2c784

66242436 has 48 divisors (see below), whose sum is σ = 175224000. Its totient is φ = 19308672.

The previous prime is 66242389. The next prime is 66242437. The reversal of 66242436 is 63424266.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66242397 and 66242406.

It is not an unprimeable number, because it can be changed into a prime (66242437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8211 + ... + 14138.

It is an arithmetic number, because the mean of its divisors is an integer number (3650500).

Almost surely, 266242436 is an apocalyptic number.

It is an amenable number.

66242436 is an abundant number, since it is smaller than the sum of its proper divisors (108981564).

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

66242436 is a wasteful number, since it uses less digits than its factorization.

66242436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22388 (or 22386 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 66242436 is about 8138.9456319600. The cubic root of 66242436 is about 404.6182166520.

The spelling of 66242436 in words is "sixty-six million, two hundred forty-two thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 22349 44698 67047 89396 134094 268188 290537 424631 581074 849262 871611 1162148 1273893 1698524 1743222 2547786 3486444 5095572 5520203 11040406 16560609 22080812 33121218 66242436