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4729480 = 2357219127
BaseRepresentation
bin10010000010101010001000
322220021121221
4102002222020
52202320410
6245211424
755125400
oct22025210
98807557
104729480
112740368
121700b74
13c97912
148b1800
156364da
hex482a88

4729480 has 96 divisors (see below), whose sum is σ = 13132800. Its totient is φ = 1524096.

The previous prime is 4729477. The next prime is 4729481. The reversal of 4729480 is 849274.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4729481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37177 + ... + 37303.

It is an arithmetic number, because the mean of its divisors is an integer number (136800).

Almost surely, 24729480 is an apocalyptic number.

4729480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4729480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566400).

4729480 is an abundant number, since it is smaller than the sum of its proper divisors (8403320).

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

4729480 is a wasteful number, since it uses less digits than its factorization.

4729480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 4729480 is about 2174.7367656799. The cubic root of 4729480 is about 167.8563587021.

It can be divided in two parts, 47294 and 80, that added together give a palindrome (47374).

The spelling of 4729480 in words is "four million, seven hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 49 56 70 76 95 98 127 133 140 152 190 196 245 254 266 280 380 392 490 508 532 635 665 760 889 931 980 1016 1064 1270 1330 1778 1862 1960 2413 2540 2660 3556 3724 4445 4655 4826 5080 5320 6223 7112 7448 8890 9310 9652 12065 12446 16891 17780 18620 19304 24130 24892 31115 33782 35560 37240 48260 49784 62230 67564 84455 96520 118237 124460 135128 168910 236474 248920 337820 472948 591185 675640 945896 1182370 2364740 4729480