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5001948 = 2232723863
BaseRepresentation
bin10011000101001011011100
3100102010101100
4103011023130
52240030243
6255113100
760341640
oct23051334
910363340
105001948
112907046
121812790
131061943
14942c20
1568c0d3
hex4c52dc

5001948 has 72 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 1365408.

The previous prime is 5001923. The next prime is 5001967. The reversal of 5001948 is 8491005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5365 + ... + 6227.

It is an arithmetic number, because the mean of its divisors is an integer number (209664).

Almost surely, 25001948 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 5001948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

5001948 is an abundant number, since it is smaller than the sum of its proper divisors (10093860).

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

5001948 is a wasteful number, since it uses less digits than its factorization.

5001948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 5001948 is about 2236.5035211240. The cubic root of 5001948 is about 171.0197986720.

The spelling of 5001948 in words is "five million, one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 863 966 1449 1726 1932 2589 2898 3452 5178 5796 6041 7767 10356 12082 15534 18123 19849 24164 31068 36246 39698 54369 59547 72492 79396 108738 119094 138943 178641 217476 238188 277886 357282 416829 555772 714564 833658 1250487 1667316 2500974 5001948