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40872576 = 273163653
BaseRepresentation
bin1001101111101…
…0101010000000
32211220112122010
42123322222000
540430410301
64020012520
71004261013
oct233725200
984815563
1040872576
1121087198
1211831140
138610a74
1455dd37a
1538c55d6
hex26faa80

40872576 has 64 divisors (see below), whose sum is σ = 109401120. Its totient is φ = 13519872.

The previous prime is 40872569. The next prime is 40872577. The reversal of 40872576 is 67527804.

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 (40872577) 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, 62266 + ... + 62918.

Almost surely, 240872576 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 40872576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54700560).

40872576 is an abundant number, since it is smaller than the sum of its proper divisors (68528544).

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

40872576 is a wasteful number, since it uses less digits than its factorization.

40872576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 40872576 is about 6393.1663516602. The cubic root of 40872576 is about 344.4641292330.

The spelling of 40872576 in words is "forty million, eight hundred seventy-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 326 384 489 652 653 978 1304 1306 1956 1959 2608 2612 3912 3918 5216 5224 7824 7836 10432 10448 15648 15672 20864 20896 31296 31344 41792 62592 62688 83584 106439 125376 212878 250752 319317 425756 638634 851512 1277268 1703024 2554536 3406048 5109072 6812096 10218144 13624192 20436288 40872576