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1929942 = 232717253
BaseRepresentation
bin111010111001011010110
310122001101100
413113023112
5443224232
6105210530
722255440
oct7271326
93561340
101929942
1110a8aa3
12790a46
135275a1
14383490
15281c7c
hex1d72d6

1929942 has 72 divisors (see below), whose sum is σ = 5172336. Its totient is φ = 509184.

The previous prime is 1929929. The next prime is 1929943. The reversal of 1929942 is 2499291.

It is a super-2 number, since 2×19299422 = 7449352246728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1929897 and 1929906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1929943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36388 + ... + 36440.

It is an arithmetic number, because the mean of its divisors is an integer number (71838).

21929942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1929942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586168).

1929942 is an abundant number, since it is smaller than the sum of its proper divisors (3242394).

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

1929942 is a wasteful number, since it uses less digits than its factorization.

1929942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 82 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 1929942 is about 1389.2235241314. The cubic root of 1929942 is about 124.5034595255.

The spelling of 1929942 in words is "one million, nine hundred twenty-nine thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 53 63 102 106 119 126 153 159 238 289 306 318 357 371 477 578 714 742 867 901 954 1071 1113 1734 1802 2023 2142 2226 2601 2703 3339 4046 5202 5406 6069 6307 6678 8109 12138 12614 15317 16218 18207 18921 30634 36414 37842 45951 56763 91902 107219 113526 137853 214438 275706 321657 643314 964971 1929942