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4993950 = 2352132197
BaseRepresentation
bin10011000011001110011110
3100101201102010
4103003032132
52234301300
6255012050
760306423
oct23031636
910351363
104993950
112901035
12180a026
13105b100
1493dd4a
15689a50
hex4c339e

4993950 has 72 divisors (see below), whose sum is σ = 13479048. Its totient is φ = 1223040.

The previous prime is 4993949. The next prime is 4993951. The reversal of 4993950 is 593994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4993949) and next prime (4993951).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 4993899 and 4993908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25252 + ... + 25448.

It is an arithmetic number, because the mean of its divisors is an integer number (187209).

Almost surely, 24993950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4993950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739524).

4993950 is an abundant number, since it is smaller than the sum of its proper divisors (8485098).

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

4993950 is a wasteful number, since it uses less digits than its factorization.

4993950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 4993950 is about 2234.7147468972. The cubic root of 4993950 is about 170.9285978016.

The spelling of 4993950 in words is "four million, nine hundred ninety-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 130 150 169 195 197 325 338 390 394 507 591 650 845 975 985 1014 1182 1690 1950 1970 2535 2561 2955 4225 4925 5070 5122 5910 7683 8450 9850 12675 12805 14775 15366 25350 25610 29550 33293 38415 64025 66586 76830 99879 128050 166465 192075 199758 332930 384150 499395 832325 998790 1664650 2496975 4993950