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4868448 = 253134783
BaseRepresentation
bin10010100100100101100000
3100011100020220
4102210211200
52221242243
6252203040
756244504
oct22444540
910140226
104868448
112825812
121769480
131015c50
1490a304
15662783
hex4a4960

4868448 has 96 divisors (see below), whose sum is σ = 14224896. Its totient is φ = 1448448.

The previous prime is 4868447. The next prime is 4868453. The reversal of 4868448 is 8448684.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4868447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58615 + ... + 58697.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

Almost surely, 24868448 is an apocalyptic number.

4868448 is a gapful number since it is divisible by the number (48) 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 4868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112448).

4868448 is an abundant number, since it is smaller than the sum of its proper divisors (9356448).

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

4868448 is a wasteful number, since it uses less digits than its factorization.

4868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 148 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 4868448 is about 2206.4559818859. The cubic root of 4868448 is about 169.4845749575.

The spelling of 4868448 in words is "four million, eight hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 78 83 94 96 104 141 156 166 188 208 249 282 312 332 376 416 498 564 611 624 664 752 996 1079 1128 1222 1248 1328 1504 1833 1992 2158 2256 2444 2656 3237 3666 3901 3984 4316 4512 4888 6474 7332 7802 7968 8632 9776 11703 12948 14664 15604 17264 19552 23406 25896 29328 31208 34528 46812 50713 51792 58656 62416 93624 101426 103584 124832 152139 187248 202852 304278 374496 405704 608556 811408 1217112 1622816 2434224 4868448