Search a number
-
+
40461552 = 2433229409
BaseRepresentation
bin1001101001011…
…0010011110000
32211010122211000
42122112103300
540324232202
64003122000
71000626465
oct232262360
984118730
1040461552
11209263aa
1211673300
1384c8961
14553366c
15384391c
hex26964f0

40461552 has 80 divisors (see below), whose sum is σ = 116932000. Its totient is φ = 13395456.

The previous prime is 40461527. The next prime is 40461559. The reversal of 40461552 is 25516404.

40461552 is a `hidden beast` number, since 40 + 4 + 615 + 5 + 2 = 666.

It is a super-3 number, since 3×404615523 (a number of 24 digits) contains 333 as substring.

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 (40461559) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98724 + ... + 99132.

It is an arithmetic number, because the mean of its divisors is an integer number (1461650).

Almost surely, 240461552 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 40461552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58466000).

40461552 is an abundant number, since it is smaller than the sum of its proper divisors (76470448).

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

40461552 is a wasteful number, since it uses less digits than its factorization.

40461552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 40461552 is about 6360.9395532421. The cubic root of 40461552 is about 343.3055668206.

Adding to 40461552 its reverse (25516404), we get a palindrome (65977956).

The spelling of 40461552 in words is "forty million, four hundred sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 409 432 458 687 818 916 1227 1374 1636 1832 2061 2454 2748 3272 3664 3681 4122 4908 5496 6183 6544 7362 8244 9816 10992 11043 12366 14724 16488 19632 22086 24732 29448 32976 44172 49464 58896 88344 93661 98928 176688 187322 280983 374644 561966 749288 842949 1123932 1498576 1685898 2247864 2528847 3371796 4495728 5057694 6743592 10115388 13487184 20230776 40461552