Search a number
-
+
41907680 = 255377079
BaseRepresentation
bin1001111111011…
…1010111100000
32220212010112022
42133313113200
541212021210
64054121012
71016131553
oct237672740
986763468
1041907680
1121723951
1212050168
1388b3c59
1457cc69a
153a2c155
hex27f75e0

41907680 has 48 divisors (see below), whose sum is σ = 101697120. Its totient is φ = 16307712.

The previous prime is 41907667. The next prime is 41907689. The reversal of 41907680 is 8670914.

It is a self number, because there is not a number n which added to its sum of digits gives 41907680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41907689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2381 + ... + 9459.

It is an arithmetic number, because the mean of its divisors is an integer number (2118690).

Almost surely, 241907680 is an apocalyptic number.

41907680 is a gapful number since it is divisible by the number (40) 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 41907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50848560).

41907680 is an abundant number, since it is smaller than the sum of its proper divisors (59789440).

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

41907680 is a wasteful number, since it uses less digits than its factorization.

41907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 41907680 is about 6473.6141374042. The cubic root of 41907680 is about 347.3477897305.

The spelling of 41907680 in words is "forty-one million, nine hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 7079 14158 28316 35395 56632 70790 113264 141580 226528 261923 283160 523846 566320 1047692 1132640 1309615 2095384 2619230 4190768 5238460 8381536 10476920 20953840 41907680