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5001312 = 25359883
BaseRepresentation
bin10011000101000001100000
3100102002111210
4103011001200
52240020222
6255110120
760340041
oct23050140
910362453
105001312
112906618
121812340
131061574
149428c8
1568bd0c
hex4c5060

5001312 has 48 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1636992.

The previous prime is 5001307. The next prime is 5001319. The reversal of 5001312 is 2131005.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5001319) by changing a digit.

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, 5223 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (278460).

Almost surely, 25001312 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 5001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

5001312 is an abundant number, since it is smaller than the sum of its proper divisors (8364768).

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

5001312 is a wasteful number, since it uses less digits than its factorization.

5001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5001312 is about 2236.3613303758. The cubic root of 5001312 is about 171.0125499493.

Adding to 5001312 its reverse (2131005), we get a palindrome (7132317).

The spelling of 5001312 in words is "five million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 883 944 1416 1766 1888 2649 2832 3532 5298 5664 7064 10596 14128 21192 28256 42384 52097 84768 104194 156291 208388 312582 416776 625164 833552 1250328 1667104 2500656 5001312