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4792140 = 2232579337
BaseRepresentation
bin10010010001111101001100
3100000110120200
4102101331030
52211322030
6250413500
755506153
oct22217514
910013520
104792140
112783451
121731290
13cba2b2
148ca59a
15649d60
hex491f4c

4792140 has 72 divisors (see below), whose sum is σ = 14763840. Its totient is φ = 1257984.

The previous prime is 4792133. The next prime is 4792141. The reversal of 4792140 is 412974.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14052 + ... + 14388.

Almost surely, 24792140 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 4792140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381920).

4792140 is an abundant number, since it is smaller than the sum of its proper divisors (9971700).

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

4792140 is a wasteful number, since it uses less digits than its factorization.

4792140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4792140 is about 2189.0957037096. The cubic root of 4792140 is about 168.5944080245.

Adding to 4792140 its product of nonzero digits (2016), we get a triangular number (4794156 = T3096).

It can be divided in two parts, 47921 and 40, that added together give a square (47961 = 2192).

The spelling of 4792140 in words is "four million, seven hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 337 395 474 674 711 790 948 1011 1185 1348 1422 1580 1685 2022 2370 2844 3033 3370 3555 4044 4740 5055 6066 6740 7110 10110 12132 14220 15165 20220 26623 30330 53246 60660 79869 106492 133115 159738 239607 266230 319476 399345 479214 532460 798690 958428 1198035 1597380 2396070 4792140