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4826952 = 233513191
BaseRepresentation
bin10010011010011101001000
3100002020100000
4102122131020
52213430302
6251243000
756012514
oct22323510
910066300
104826952
1127a7619
121749460
1310000b0
148d9144
1565531c
hex49a748

4826952 has 96 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1477440.

The previous prime is 4826951. The next prime is 4826953. The reversal of 4826952 is 2596284.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4826951) and next prime (4826953).

It is a super-2 number, since 2×48269522 = 46598931220608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4826951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25177 + ... + 25367.

It is an arithmetic number, because the mean of its divisors is an integer number (152880).

Almost surely, 24826952 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 4826952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4826952 is an abundant number, since it is smaller than the sum of its proper divisors (9849528).

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

4826952 is a wasteful number, since it uses less digits than its factorization.

4826952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4826952 is about 2197.0325441377. The cubic root of 4826952 is about 169.0016689260.

It can be divided in two parts, 4826 and 952, that added together give a triangular number (5778 = T107).

The spelling of 4826952 in words is "four million, eight hundred twenty-six thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 191 216 234 243 312 324 351 382 468 486 573 648 702 764 936 972 1053 1146 1404 1528 1719 1944 2106 2292 2483 2808 3159 3438 4212 4584 4966 5157 6318 6876 7449 8424 9932 10314 12636 13752 14898 15471 19864 20628 22347 25272 29796 30942 41256 44694 46413 59592 61884 67041 89388 92826 123768 134082 178776 185652 201123 268164 371304 402246 536328 603369 804492 1206738 1608984 2413476 4826952