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4712280 = 2335107367
BaseRepresentation
bin10001111110011101011000
322212102000220
4101332131120
52201243110
6245000040
755024266
oct21763530
98772026
104712280
112729451
1216b3020
13c8cb41
148a9436
15631370
hex47e758

4712280 has 64 divisors (see below), whose sum is σ = 14307840. Its totient is φ = 1241472.

The previous prime is 4712261. The next prime is 4712287. The reversal of 4712280 is 822174.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4712280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4712287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12657 + ... + 13023.

It is an arithmetic number, because the mean of its divisors is an integer number (223560).

Almost surely, 24712280 is an apocalyptic number.

4712280 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 4712280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153920).

4712280 is an abundant number, since it is smaller than the sum of its proper divisors (9595560).

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

4712280 is a wasteful number, since it uses less digits than its factorization.

4712280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4712280 is about 2170.7786621395. The cubic root of 4712280 is about 167.6526269039.

The spelling of 4712280 in words is "four million, seven hundred twelve thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 367 428 535 642 734 856 1070 1101 1284 1468 1605 1835 2140 2202 2568 2936 3210 3670 4280 4404 5505 6420 7340 8808 11010 12840 14680 22020 39269 44040 78538 117807 157076 196345 235614 314152 392690 471228 589035 785380 942456 1178070 1570760 2356140 4712280