Search a number
-
+
40945792 = 271731607
BaseRepresentation
bin1001110000110…
…0100010000000
32212001021001211
42130030202000
540440231132
64021335504
71005014326
oct234144200
985037054
1040945792
11211271a8
1211867594
1386381a4
14561bd16
1538dc147
hex270c880

40945792 has 64 divisors (see below), whose sum is σ = 89303040. Its totient is φ = 18616320.

The previous prime is 40945787. The next prime is 40945799. The reversal of 40945792 is 29754904.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (40945799) 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, 67153 + ... + 67759.

It is an arithmetic number, because the mean of its divisors is an integer number (1395360).

Almost surely, 240945792 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 40945792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651520).

40945792 is an abundant number, since it is smaller than the sum of its proper divisors (48357248).

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

40945792 is a wasteful number, since it uses less digits than its factorization.

40945792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 40945792 is about 6398.8899037255. The cubic root of 40945792 is about 344.6696887540.

The spelling of 40945792 in words is "forty million, nine hundred forty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 128 136 248 272 496 527 544 607 992 1054 1088 1214 1984 2108 2176 2428 3968 4216 4856 8432 9712 10319 16864 18817 19424 20638 33728 37634 38848 41276 67456 75268 77696 82552 150536 165104 301072 319889 330208 602144 639778 660416 1204288 1279556 1320832 2408576 2559112 5118224 10236448 20472896 40945792