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212457042 = 23272240881
BaseRepresentation
bin11001010100111…
…01011001010010
3112210202221021100
430222131121102
5413342111132
633025405230
75156566200
oct1452353122
9483687240
10212457042
11a9a21136
125b199816
1335029335
1420306070
15139ba37c
hexca9d652

212457042 has 36 divisors (see below), whose sum is σ = 535480686. Its totient is φ = 60701760.

The previous prime is 212457029. The next prime is 212457073. The reversal of 212457042 is 240754212.

212457042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 180069561 + 32387481 = 13419^2 + 5691^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212456997 and 212457015.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 119559 + ... + 121322.

Almost surely, 2212457042 is an apocalyptic number.

212457042 is an abundant number, since it is smaller than the sum of its proper divisors (323023644).

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

212457042 is a wasteful number, since it uses less digits than its factorization.

212457042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240903 (or 240893 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 212457042 is about 14575.9062153953. The cubic root of 212457042 is about 596.7013817628.

The spelling of 212457042 in words is "two hundred twelve million, four hundred fifty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 240881 481762 722643 1445286 1686167 2167929 3372334 4335858 5058501 10117002 11803169 15175503 23606338 30351006 35409507 70819014 106228521 212457042