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40411872 = 25355197
BaseRepresentation
bin1001101000101…
…0001011100000
32211001010200000
42122022023200
540321134442
64002100000
71000331604
oct232121340
984033600
1040411872
11208a2046
121164a600
1384ac167
14551d504
153833d4c
hex268a2e0

40411872 has 72 divisors (see below), whose sum is σ = 119200536. Its totient is φ = 13468032.

The previous prime is 40411871. The next prime is 40411883. The reversal of 40411872 is 27811404.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40411871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5178 + ... + 10374.

It is an arithmetic number, because the mean of its divisors is an integer number (1655563).

Almost surely, 240411872 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 40411872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59600268).

40411872 is an abundant number, since it is smaller than the sum of its proper divisors (78788664).

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

40411872 is an equidigital number, since it uses as much as digits as its factorization.

40411872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 5202 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 40411872 is about 6357.0332703235. The cubic root of 40411872 is about 343.1650020549.

The spelling of 40411872 in words is "forty million, four hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 5197 7776 10394 15591 20788 31182 41576 46773 62364 83152 93546 124728 140319 166304 187092 249456 280638 374184 420957 498912 561276 748368 841914 1122552 1262871 1496736 1683828 2245104 2525742 3367656 4490208 5051484 6735312 10102968 13470624 20205936 40411872