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4227264 = 263241179
BaseRepresentation
bin10000001000000011000000
321221202201100
4100020003000
52040233024
6230334400
750634246
oct20100300
97852640
104227264
112428008
1214ba400
13b50152
147c0796
155877c9
hex4080c0

4227264 has 84 divisors (see below), whose sum is σ = 12481560. Its totient is φ = 1367040.

The previous prime is 4227257. The next prime is 4227277. The reversal of 4227264 is 4627224.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23527 + ... + 23705.

It is an arithmetic number, because the mean of its divisors is an integer number (148590).

Almost surely, 24227264 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 4227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240780).

4227264 is an abundant number, since it is smaller than the sum of its proper divisors (8254296).

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

4227264 is a wasteful number, since it uses less digits than its factorization.

4227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 225 counting only the distinct ones).

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

The square root of 4227264 is about 2056.0311281690. The cubic root of 4227264 is about 161.6912271232.

The spelling of 4227264 in words is "four million, two hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 179 192 246 288 328 358 369 492 537 576 656 716 738 984 1074 1312 1432 1476 1611 1968 2148 2624 2864 2952 3222 3936 4296 5728 5904 6444 7339 7872 8592 11456 11808 12888 14678 17184 22017 23616 25776 29356 34368 44034 51552 58712 66051 88068 103104 117424 132102 176136 234848 264204 352272 469696 528408 704544 1056816 1409088 2113632 4227264