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4270834784 = 253136711731
BaseRepresentation
bin1111111010001111…
…1100010001100000
3102000122022212221002
43332203330101200
532221313203114
61543442451132
7210556332236
oct37643742140
912018285832
104270834784
1118a1858427
129b2363aa8
13530a7a498
142c72d4956
1519ee227de
hexfe8fc460

4270834784 has 48 divisors (see below), whose sum is σ = 8703830016. Its totient is φ = 2060726400.

The previous prime is 4270834781. The next prime is 4270834811. The reversal of 4270834784 is 4874380724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270834781) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 358199 + ... + 369929.

It is an arithmetic number, because the mean of its divisors is an integer number (181329792).

Almost surely, 24270834784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4270834784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351915008).

4270834784 is an abundant number, since it is smaller than the sum of its proper divisors (4432995232).

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

4270834784 is a wasteful number, since it uses less digits than its factorization.

4270834784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12139 (or 12131 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 47.

The square root of 4270834784 is about 65351.6241879267. The cubic root of 4270834784 is about 1622.4485130025.

The spelling of 4270834784 in words is "four billion, two hundred seventy million, eight hundred thirty-four thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 367 496 734 992 1468 2936 5872 11377 11731 11744 22754 23462 45508 46924 91016 93848 182032 187696 363661 364064 375392 727322 1454644 2909288 4305277 5818576 8610554 11637152 17221108 34442216 68884432 133463587 137768864 266927174 533854348 1067708696 2135417392 4270834784