Search a number
-
+
40601952 = 253346993
BaseRepresentation
bin1001101011100…
…0100101100000
32211101210102000
42122320211200
540343230302
64010124000
71002053016
oct232704540
984353360
1040601952
1120a11936
1211720600
138547831
14556c8b6
15387031c
hex26b8960

40601952 has 48 divisors (see below), whose sum is σ = 118424880. Its totient is φ = 13533696.

The previous prime is 40601941. The next prime is 40601963. The reversal of 40601952 is 25910604.

40601952 is a `hidden beast` number, since 4 + 0 + 601 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (40601941) and next prime (40601963).

It is a tau number, because it is divible by the number of its divisors (48).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22633 + ... + 24360.

It is an arithmetic number, because the mean of its divisors is an integer number (2467185).

Almost surely, 240601952 is an apocalyptic number.

It is an amenable number.

40601952 is an abundant number, since it is smaller than the sum of its proper divisors (77822928).

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

40601952 is a wasteful number, since it uses less digits than its factorization.

40601952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47012 (or 46998 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 40601952 is about 6371.9661016047. The cubic root of 40601952 is about 343.7021940350.

The spelling of 40601952 in words is "forty million, six hundred one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 46993 93986 140979 187972 281958 375944 422937 563916 751888 845874 1127832 1268811 1503776 1691748 2255664 2537622 3383496 4511328 5075244 6766992 10150488 13533984 20300976 40601952