Search a number
-
+
1979952 = 2431319167
BaseRepresentation
bin111100011011000110000
310201120222120
413203120300
51001324302
6110234240
722554312
oct7433060
93646876
101979952
111132627
127b5980
13544290
143977b2
152919bc
hex1e3630

1979952 has 80 divisors (see below), whose sum is σ = 5832960. Its totient is φ = 573696.

The previous prime is 1979947. The next prime is 1979993. The reversal of 1979952 is 2599791.

Its product of digits (51030) is a multiple of the sum of its prime factors (210).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11773 + ... + 11939.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

21979952 is an apocalyptic number.

1979952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1979952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916480).

1979952 is an abundant number, since it is smaller than the sum of its proper divisors (3853008).

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

1979952 is a wasteful number, since it uses less digits than its factorization.

1979952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its digits is 51030, while the sum is 42.

The square root of 1979952 is about 1407.1076717863. The cubic root of 1979952 is about 125.5697088433.

The spelling of 1979952 in words is "one million, nine hundred seventy-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 167 208 228 247 304 312 334 456 494 501 624 668 741 912 988 1002 1336 1482 1976 2004 2171 2672 2964 3173 3952 4008 4342 5928 6346 6513 8016 8684 9519 11856 12692 13026 17368 19038 25384 26052 34736 38076 41249 50768 52104 76152 82498 104208 123747 152304 164996 247494 329992 494988 659984 989976 1979952