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5224032 = 2532111797
BaseRepresentation
bin10011111011011001100000
3100211102000200
4103323121200
52314132112
6303545200
762255262
oct23733140
910742020
105224032
112a48990
1218bb200
13110ba58
1499db32
156d2cdc
hex4fb660

5224032 has 144 divisors (see below), whose sum is σ = 17336592. Its totient is φ = 1474560.

The previous prime is 5224001. The next prime is 5224073. The reversal of 5224032 is 2304225.

5224032 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5223996 and 5224014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53808 + ... + 53904.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 25224032 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 5224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296).

5224032 is an abundant number, since it is smaller than the sum of its proper divisors (12112560).

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

5224032 is a wasteful number, since it uses less digits than its factorization.

5224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 5224032 is about 2285.6141406633. The cubic root of 5224032 is about 173.5143014618.

Adding to 5224032 its reverse (2304225), we get a palindrome (7528257).

It can be divided in two parts, 522 and 4032, that added together give a palindrome (4554).

The spelling of 5224032 in words is "five million, two hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 66 68 72 88 96 97 99 102 132 136 144 153 176 187 194 198 204 264 272 288 291 306 352 374 388 396 408 528 544 561 582 612 748 776 792 816 873 1056 1067 1122 1164 1224 1496 1552 1584 1632 1649 1683 1746 2134 2244 2328 2448 2992 3104 3168 3201 3298 3366 3492 4268 4488 4656 4896 4947 5984 6402 6596 6732 6984 8536 8976 9312 9603 9894 12804 13192 13464 13968 14841 17072 17952 18139 19206 19788 25608 26384 26928 27936 29682 34144 36278 38412 39576 51216 52768 53856 54417 59364 72556 76824 79152 102432 108834 118728 145112 153648 158304 163251 217668 237456 290224 307296 326502 435336 474912 580448 653004 870672 1306008 1741344 2612016 5224032