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4933192032 = 253341913627
BaseRepresentation
bin1001001100000101…
…01000100101100000
3110201210200010021000
410212002220211200
540100344121112
62133303232000
7233151304026
oct44602504540
913653603230
104933192032
11210172720a
12b58148600
13608069c52
1434b270716
151dd15b7dc
hex1260a8960

4933192032 has 96 divisors (see below), whose sum is σ = 14423875200. Its totient is φ = 1640352384.

The previous prime is 4933192021. The next prime is 4933192057. The reversal of 4933192032 is 2302913394.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355203 + ... + 368829.

It is an arithmetic number, because the mean of its divisors is an integer number (150248700).

Almost surely, 24933192032 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 4933192032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211937600).

4933192032 is an abundant number, since it is smaller than the sum of its proper divisors (9490683168).

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

4933192032 is a wasteful number, since it uses less digits than its factorization.

4933192032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14051 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 4933192032 is about 70236.6857988046. The cubic root of 4933192032 is about 1702.3257707555.

The spelling of 4933192032 in words is "four billion, nine hundred thirty-three million, one hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 419 432 838 864 1257 1676 2514 3352 3771 5028 6704 7542 10056 11313 13408 13627 15084 20112 22626 27254 30168 40224 40881 45252 54508 60336 81762 90504 109016 120672 122643 163524 181008 218032 245286 327048 362016 367929 436064 490572 654096 735858 981144 1308192 1471716 1962288 2943432 3924576 5709713 5886864 11419426 11773728 17129139 22838852 34258278 45677704 51387417 68516556 91355408 102774834 137033112 154162251 182710816 205549668 274066224 308324502 411099336 548132448 616649004 822198672 1233298008 1644397344 2466596016 4933192032