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4720464 = 243372223
BaseRepresentation
bin10010000000011101010000
322212211021000
4102000131100
52202023324
6245102000
755060200
oct22003520
98784230
104720464
112734611
1216b7900
13c93798
148ac400
156339c9
hex480750

4720464 has 120 divisors (see below), whose sum is σ = 15832320. Its totient is φ = 1342656.

The previous prime is 4720433. The next prime is 4720477. The reversal of 4720464 is 4640274.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 21057 + ... + 21279.

It is an arithmetic number, because the mean of its divisors is an integer number (131936).

Almost surely, 24720464 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 4720464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916160).

4720464 is an abundant number, since it is smaller than the sum of its proper divisors (11111856).

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

4720464 is a wasteful number, since it uses less digits than its factorization.

4720464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4720464 is about 2172.6628822714. The cubic root of 4720464 is about 167.7496270508.

It can be divided in two parts, 4720 and 464, that added together give a square (5184 = 722).

The spelling of 4720464 in words is "four million, seven hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 223 252 294 336 378 392 432 441 446 504 588 669 756 784 882 892 1008 1176 1323 1338 1512 1561 1764 1784 2007 2352 2646 2676 3024 3122 3528 3568 4014 4683 5292 5352 6021 6244 7056 8028 9366 10584 10704 10927 12042 12488 14049 16056 18732 21168 21854 24084 24976 28098 32112 32781 37464 42147 43708 48168 56196 65562 74928 84294 87416 96336 98343 112392 131124 168588 174832 196686 224784 262248 295029 337176 393372 524496 590058 674352 786744 1180116 1573488 2360232 4720464