Search a number
-
+
41470632 = 23327107769
BaseRepresentation
bin1001111000110…
…0101010101000
32220000221000100
42132030222220
541104030012
64040505400
71012331430
oct236145250
986027010
1041470632
1121455555
1211a7b260
138790048
1457172c0
1539928dc
hex278caa8

41470632 has 96 divisors (see below), whose sum is σ = 129729600. Its totient is φ = 11722752.

The previous prime is 41470631. The next prime is 41470657. The reversal of 41470632 is 23607414.

It is a junction number, because it is equal to n+sod(n) for n = 41470596 and 41470605.

It is not an unprimeable number, because it can be changed into a prime (41470631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53544 + ... + 54312.

It is an arithmetic number, because the mean of its divisors is an integer number (1351350).

Almost surely, 241470632 is an apocalyptic number.

41470632 is a gapful number since it is divisible by the number (42) 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 41470632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64864800).

41470632 is an abundant number, since it is smaller than the sum of its proper divisors (88258968).

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

41470632 is a wasteful number, since it uses less digits than its factorization.

41470632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 41470632 is about 6439.7695610946. The cubic root of 41470632 is about 346.1360908956.

The spelling of 41470632 in words is "forty-one million, four hundred seventy thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 252 321 428 504 642 749 769 856 963 1284 1498 1538 1926 2247 2307 2568 2996 3076 3852 4494 4614 5383 5992 6152 6741 6921 7704 8988 9228 10766 13482 13842 16149 17976 18456 21532 26964 27684 32298 43064 48447 53928 55368 64596 82283 96894 129192 164566 193788 246849 329132 387576 493698 575981 658264 740547 987396 1151962 1481094 1727943 1974792 2303924 2962188 3455886 4607848 5183829 5924376 6911772 10367658 13823544 20735316 41470632