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5000448 = 28317383
BaseRepresentation
bin10011000100110100000000
3100102001022210
4103010310000
52240003243
6255102120
760334365
oct23046400
910361283
105000448
112905a02
121811940
13106105b
1494246c
1568b933
hex4c4d00

5000448 has 72 divisors (see below), whose sum is σ = 14128128. Its totient is φ = 1564672.

The previous prime is 5000423. The next prime is 5000473. The reversal of 5000448 is 8440005.

It is an interprime number because it is at equal distance from previous prime (5000423) and next prime (5000473).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12865 + ... + 13247.

It is an arithmetic number, because the mean of its divisors is an integer number (196224).

Almost surely, 25000448 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 5000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064064).

5000448 is an abundant number, since it is smaller than the sum of its proper divisors (9127680).

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

5000448 is a wasteful number, since it uses less digits than its factorization.

5000448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5000448 is about 2236.1681511013. The cubic root of 5000448 is about 171.0027016433.

The spelling of 5000448 in words is "five million, four hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 383 384 408 544 766 768 816 1088 1149 1532 1632 2176 2298 3064 3264 4352 4596 6128 6511 6528 9192 12256 13022 13056 18384 19533 24512 26044 36768 39066 49024 52088 73536 78132 98048 104176 147072 156264 208352 294144 312528 416704 625056 833408 1250112 1666816 2500224 5000448