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4829952 = 28319331
BaseRepresentation
bin10010011011001100000000
3100002101110010
4102123030000
52214024302
6251304520
756024331
oct22331400
910071403
104829952
1127a98a6
12174b140
13100157a
148da288
1565616c
hex49b300

4829952 has 72 divisors (see below), whose sum is σ = 13572160. Its totient is φ = 1520640.

The previous prime is 4829947. The next prime is 4829953. The reversal of 4829952 is 2599284.

It is a self number, because there is not a number n which added to its sum of digits gives 4829952.

It is not an unprimeable number, because it can be changed into a prime (4829953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14427 + ... + 14757.

Almost surely, 24829952 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 4829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786080).

4829952 is an abundant number, since it is smaller than the sum of its proper divisors (8742208).

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

4829952 is a wasteful number, since it uses less digits than its factorization.

4829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 4829952 is about 2197.7151771783. The cubic root of 4829952 is about 169.0366737632.

The spelling of 4829952 in words is "four million, eight hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 331 384 456 608 662 768 912 993 1216 1324 1824 1986 2432 2648 3648 3972 4864 5296 6289 7296 7944 10592 12578 14592 15888 18867 21184 25156 31776 37734 42368 50312 63552 75468 84736 100624 127104 150936 201248 254208 301872 402496 603744 804992 1207488 1609984 2414976 4829952