Search a number
-
+
41401692 = 2234532411
BaseRepresentation
bin1001110111101…
…1110101011100
32212220102110000
42131323311130
541044323232
64035214300
71011623433
oct235736534
985812400
1041401692
1121408782
1211a47390
138767857
1456da11a
15397c27c
hex277bd5c

41401692 has 60 divisors (see below), whose sum is σ = 110320056. Its totient is φ = 13534560.

The previous prime is 41401691. The next prime is 41401699. The reversal of 41401692 is 29610414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41401691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15967 + ... + 18377.

Almost surely, 241401692 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 41401692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55160028).

41401692 is an abundant number, since it is smaller than the sum of its proper divisors (68918364).

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

41401692 is a wasteful number, since it uses less digits than its factorization.

41401692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41401692 is about 6434.4146586927. The cubic root of 41401692 is about 345.9441811343.

It can be divided in two parts, 4140 and 1692, that added together give a cube (5832 = 183).

The spelling of 41401692 in words is "forty-one million, four hundred one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 318 324 477 636 954 1431 1908 2411 2862 4293 4822 5724 7233 8586 9644 14466 17172 21699 28932 43398 65097 86796 127783 130194 195291 255566 260388 383349 390582 511132 766698 781164 1150047 1533396 2300094 3450141 4600188 6900282 10350423 13800564 20700846 41401692