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4928352 = 2531113359
BaseRepresentation
bin10010110011001101100000
3100021101102120
4102303031200
52230201402
6253344240
756614242
oct22631540
910241376
104928352
112866820
121798080
1310372b0
14924092
156753bc
hex4b3360

4928352 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1374720.

The previous prime is 4928321. The next prime is 4928369. The reversal of 4928352 is 2538294.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13549 + ... + 13907.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 24928352 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 4928352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4928352 is an abundant number, since it is smaller than the sum of its proper divisors (10312608).

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

4928352 is a wasteful number, since it uses less digits than its factorization.

4928352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 4928352 is about 2219.9891891629. The cubic root of 4928352 is about 170.1768862423.

The spelling of 4928352 in words is "four million, nine hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 359 416 429 528 572 624 718 858 1056 1077 1144 1248 1436 1716 2154 2288 2872 3432 3949 4308 4576 4667 5744 6864 7898 8616 9334 11488 11847 13728 14001 15796 17232 18668 23694 28002 31592 34464 37336 47388 51337 56004 63184 74672 94776 102674 112008 126368 149344 154011 189552 205348 224016 308022 379104 410696 448032 616044 821392 1232088 1642784 2464176 4928352