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4532796 = 2232374183
BaseRepresentation
bin10001010010101000111100
322112021211100
4101102220330
52130022141
6241053100
753346102
oct21225074
98467740
104532796
112616614
121627190
13c29238
1485dc72
155e80b6
hex452a3c

4532796 has 72 divisors (see below), whose sum is σ = 12199824. Its totient is φ = 1416960.

The previous prime is 4532791. The next prime is 4532807. The reversal of 4532796 is 6972354.

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 a self number, because there is not a number n which added to its sum of digits gives 4532796.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532791) 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, 54571 + ... + 54653.

It is an arithmetic number, because the mean of its divisors is an integer number (169442).

Almost surely, 24532796 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 4532796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099912).

4532796 is an abundant number, since it is smaller than the sum of its proper divisors (7667028).

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

4532796 is a wasteful number, since it uses less digits than its factorization.

4532796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 4532796 is about 2129.0364017555. The cubic root of 4532796 is about 165.4964661245.

It can be divided in two parts, 453 and 2796, that added together give a square (3249 = 572).

The spelling of 4532796 in words is "four million, five hundred thirty-two thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 83 111 123 148 164 166 222 246 249 332 333 369 444 492 498 666 738 747 996 1332 1476 1494 1517 2988 3034 3071 3403 4551 6068 6142 6806 9102 9213 10209 12284 13612 13653 18204 18426 20418 27306 27639 30627 36852 40836 54612 55278 61254 110556 122508 125911 251822 377733 503644 755466 1133199 1510932 2266398 4532796