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41565040 = 24511149317
BaseRepresentation
bin1001111010001…
…1101101110000
32220012201111221
42132203231300
541120040130
64042514424
71013203606
oct236435560
986181457
1041565040
112150a480
1211b05a14
1387c3cca
14573d876
1539b087a
hex27a3b70

41565040 has 80 divisors (see below), whose sum is σ = 106466400. Its totient is φ = 14965760.

The previous prime is 41565019. The next prime is 41565049. The reversal of 41565040 is 4056514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 41564996 and 41565014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41565049) 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, 130962 + ... + 131278.

It is an arithmetic number, because the mean of its divisors is an integer number (1330830).

Almost surely, 241565040 is an apocalyptic number.

41565040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53233200).

41565040 is an abundant number, since it is smaller than the sum of its proper divisors (64901360).

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

41565040 is a wasteful number, since it uses less digits than its factorization.

41565040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 41565040 is about 6447.0954700547. The cubic root of 41565040 is about 346.3985517312.

The spelling of 41565040 in words is "forty-one million, five hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 317 440 596 634 745 880 1192 1268 1490 1585 1639 2384 2536 2980 3170 3278 3487 5072 5960 6340 6556 6974 8195 11920 12680 13112 13948 16390 17435 25360 26224 27896 32780 34870 47233 55792 65560 69740 94466 131120 139480 188932 236165 278960 377864 472330 519563 755728 944660 1039126 1889320 2078252 2597815 3778640 4156504 5195630 8313008 10391260 20782520 41565040