Search a number
-
+
92419340 = 22513237739
BaseRepresentation
bin1011000001000…
…11010100001100
320102220101111112
411200203110030
5142124404330
613100511152
72201360066
oct540432414
9212811445
1092419340
1148194022
1226b4b4b8
13161bb200
14c3ba736
1581a8795
hex582350c

92419340 has 72 divisors (see below), whose sum is σ = 216130320. Its totient is φ = 33156864.

The previous prime is 92419337. The next prime is 92419357. The reversal of 92419340 is 4391429.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 92419297 and 92419306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124691 + ... + 125429.

It is an arithmetic number, because the mean of its divisors is an integer number (3001810).

Almost surely, 292419340 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 92419340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108065160).

92419340 is an abundant number, since it is smaller than the sum of its proper divisors (123710980).

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

92419340 is a wasteful number, since it uses less digits than its factorization.

92419340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 92419340 is about 9613.4978025691. The cubic root of 92419340 is about 452.1205919915.

It can be divided in two parts, 9241 and 9340, that added together give a palindrome (18581).

The spelling of 92419340 in words is "ninety-two million, four hundred nineteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 169 185 260 338 370 481 676 739 740 845 962 1478 1690 1924 2405 2956 3380 3695 4810 6253 7390 9607 9620 12506 14780 19214 25012 27343 31265 38428 48035 54686 62530 96070 109372 124891 125060 136715 192140 249782 273430 355459 499564 546860 624455 710918 1248910 1421836 1777295 2497820 3554590 4620967 7109180 9241934 18483868 23104835 46209670 92419340