Search a number
-
+
41146350 = 23527149263
BaseRepresentation
bin1001110011110…
…1011111101110
32212102110011220
42130331133232
541013140400
64025524210
71006511130
oct234753756
985373156
1041146350
1121253953
1211943666
1386a856b
145671050
15392b7a0
hex273d7ee

41146350 has 96 divisors (see below), whose sum is σ = 117849600. Its totient is φ = 9306240.

The previous prime is 41146327. The next prime is 41146361. The reversal of 41146350 is 5364114.

It is a self number, because there is not a number n which added to its sum of digits gives 41146350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156319 + ... + 156581.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 241146350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41146350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58924800).

41146350 is an abundant number, since it is smaller than the sum of its proper divisors (76703250).

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

41146350 is a wasteful number, since it uses less digits than its factorization.

41146350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 41146350 is about 6414.5420725099. The cubic root of 41146350 is about 345.2315186185.

The spelling of 41146350 in words is "forty-one million, one hundred forty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 149 150 175 210 263 298 350 447 525 526 745 789 894 1043 1050 1315 1490 1578 1841 2086 2235 2630 3129 3682 3725 3945 4470 5215 5523 6258 6575 7450 7890 9205 10430 11046 11175 13150 15645 18410 19725 22350 26075 27615 31290 39187 39450 46025 52150 55230 78225 78374 92050 117561 138075 156450 195935 235122 274309 276150 391870 548618 587805 822927 979675 1175610 1371545 1645854 1959350 2743090 2939025 4114635 5878050 6857725 8229270 13715450 20573175 41146350