Search a number
-
+
40361652 = 2234347359
BaseRepresentation
bin1001100111110…
…1111010110100
32210221120210000
42121331322310
540313033102
64001031300
71000032312
oct231757264
983846700
1040361652
1120868341
1211625530
138492346
1455090b2
15382401c
hex267deb4

40361652 has 60 divisors (see below), whose sum is σ = 106112160. Its totient is φ = 13377744.

The previous prime is 40361639. The next prime is 40361669. The reversal of 40361652 is 25616304.

40361652 is a `hidden beast` number, since 4 + 0 + 3 + 6 + 1 + 652 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 112249 + ... + 112607.

It is an arithmetic number, because the mean of its divisors is an integer number (1768536).

Almost surely, 240361652 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 40361652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53056080).

40361652 is an abundant number, since it is smaller than the sum of its proper divisors (65750508).

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

40361652 is a wasteful number, since it uses less digits than its factorization.

40361652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40361652 is about 6353.0820866726. The cubic root of 40361652 is about 343.0227922760.

Adding to 40361652 its reverse (25616304), we get a palindrome (65977956).

The spelling of 40361652 in words is "forty million, three hundred sixty-one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 347 359 694 718 1041 1077 1388 1436 2082 2154 3123 3231 4164 4308 6246 6462 9369 9693 12492 12924 18738 19386 28107 29079 37476 38772 56214 58158 112428 116316 124573 249146 373719 498292 747438 1121157 1494876 2242314 3363471 4484628 6726942 10090413 13453884 20180826 40361652