[go: up one dir, main page]

Search a number
-
+
40612512 = 253479001
BaseRepresentation
bin1001101011101…
…1001010100000
32211102022220010
42122323022200
540344100022
64010244520
71002125553
oct232731240
984368803
1040612512
1120a19866
1211726740
13854c595
14557269a
15387350c
hex26bb2a0

40612512 has 48 divisors (see below), whose sum is σ = 108888192. Its totient is φ = 13248000.

The previous prime is 40612493. The next prime is 40612513. The reversal of 40612512 is 21521604.

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

It is a super-2 number, since 2×406125122 = 3298752261900288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40612513) 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, 12 + ... + 9012.

It is an arithmetic number, because the mean of its divisors is an integer number (2268504).

Almost surely, 240612512 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 40612512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54444096).

40612512 is an abundant number, since it is smaller than the sum of its proper divisors (68275680).

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

40612512 is a wasteful number, since it uses less digits than its factorization.

40612512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9061 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 40612512 is about 6372.7946773766. The cubic root of 40612512 is about 343.7319888304.

The spelling of 40612512 in words is "forty million, six hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 9001 18002 27003 36004 54006 72008 108012 144016 216024 288032 423047 432048 846094 864096 1269141 1692188 2538282 3384376 5076564 6768752 10153128 13537504 20306256 40612512