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4893408 = 2532131307
BaseRepresentation
bin10010101010101011100000
3100012121111100
4102222223200
52223042113
6252514400
756410332
oct22525340
910177440
104893408
112842543
12177ba00
131024410
14915452
15669d73
hex4aaae0

4893408 has 72 divisors (see below), whose sum is σ = 14997528. Its totient is φ = 1504512.

The previous prime is 4893397. The next prime is 4893419. The reversal of 4893408 is 8043984.

It is an interprime number because it is at equal distance from previous prime (4893397) and next prime (4893419).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 3091 + ... + 4397.

It is an arithmetic number, because the mean of its divisors is an integer number (208299).

Almost surely, 24893408 is an apocalyptic number.

4893408 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 4893408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498764).

4893408 is an abundant number, since it is smaller than the sum of its proper divisors (10104120).

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

4893408 is a wasteful number, since it uses less digits than its factorization.

4893408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4893408 is about 2212.1048799729. The cubic root of 4893408 is about 169.7737243280.

The spelling of 4893408 in words is "four million, eight hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1307 1872 2614 3744 3921 5228 7842 10456 11763 15684 16991 20912 23526 31368 33982 41824 47052 50973 62736 67964 94104 101946 125472 135928 152919 188208 203892 271856 305838 376416 407784 543712 611676 815568 1223352 1631136 2446704 4893408