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40501216 = 257473847
BaseRepresentation
bin1001101001111…
…1111111100000
32211012200020001
42122133333200
540332014331
64004025344
71001153230
oct232377740
984180201
1040501216
1120953188
1211692254
138510a22
145543cc0
153850561
hex269ffe0

40501216 has 48 divisors (see below), whose sum is σ = 93090816. Its totient is φ = 16983936.

The previous prime is 40501213. The next prime is 40501231. The reversal of 40501216 is 61210504.

It is a junction number, because it is equal to n+sod(n) for n = 40501193 and 40501202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40501213) 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, 8605 + ... + 12451.

It is an arithmetic number, because the mean of its divisors is an integer number (1939392).

Almost surely, 240501216 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 40501216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46545408).

40501216 is an abundant number, since it is smaller than the sum of its proper divisors (52589600).

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

40501216 is a wasteful number, since it uses less digits than its factorization.

40501216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 40501216 is about 6364.0565679447. The cubic root of 40501216 is about 343.4177097008.

The spelling of 40501216 in words is "forty million, five hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 3847 5264 7694 10528 15388 26929 30776 53858 61552 107716 123104 180809 215432 361618 430864 723236 861728 1265663 1446472 2531326 2892944 5062652 5785888 10125304 20250608 40501216