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5003952 = 243611709
BaseRepresentation
bin10011000101101010110000
3100102020010120
4103011222300
52240111302
6255130240
760350532
oct23055260
910366116
105003952
1129085a8
121813980
131062825
14943852
1568c9bc
hex4c5ab0

5003952 has 40 divisors (see below), whose sum is σ = 13146480. Its totient is φ = 1639680.

The previous prime is 5003951. The next prime is 5003959. The reversal of 5003952 is 2593005.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5003951) 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, 2074 + ... + 3782.

It is an arithmetic number, because the mean of its divisors is an integer number (328662).

Almost surely, 25003952 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 5003952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573240).

5003952 is an abundant number, since it is smaller than the sum of its proper divisors (8142528).

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

5003952 is a wasteful number, since it uses less digits than its factorization.

5003952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 5003952 is about 2236.9514970155. The cubic root of 5003952 is about 171.0426349694.

Adding to 5003952 its reverse (2593005), we get a palindrome (7596957).

The spelling of 5003952 in words is "five million, three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 1709 2928 3418 5127 6836 10254 13672 20508 27344 41016 82032 104249 208498 312747 416996 625494 833992 1250988 1667984 2501976 5003952