Search a number
-
+
41749056 = 263272481
BaseRepresentation
bin1001111101000…
…0101001000000
32220120001221100
42133100221000
541141432211
64050454400
71014601236
oct237205100
986501840
1041749056
1121625758
1211b94400
1388599ab
14578a956
1539ea156
hex27d0a40

41749056 has 42 divisors (see below), whose sum is σ = 119667782. Its totient is φ = 13916160.

The previous prime is 41749039. The next prime is 41749073. The reversal of 41749056 is 65094714.

It is an interprime number because it is at equal distance from previous prime (41749039) and next prime (41749073).

It can be written as a sum of positive squares in only one way, i.e., 33454656 + 8294400 = 5784^2 + 2880^2 .

It is a super-2 number, since 2×417490562 = 3485967353782272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 41749056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35665 + ... + 36816.

Almost surely, 241749056 is an apocalyptic number.

It is an amenable number.

41749056 is an abundant number, since it is smaller than the sum of its proper divisors (77918726).

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

41749056 is a wasteful number, since it uses less digits than its factorization.

41749056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72499 (or 72486 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 41749056 is about 6461.3509423340. The cubic root of 41749056 is about 346.9089890239.

The spelling of 41749056 in words is "forty-one million, seven hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 72481 144962 217443 289924 434886 579848 652329 869772 1159696 1304658 1739544 2319392 2609316 3479088 4638784 5218632 6958176 10437264 13916352 20874528 41749056