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40401840 = 2435712371
BaseRepresentation
bin1001101000011…
…1101110110000
32211000121220110
42122013232300
540320324330
64001541320
71000260423
oct232075660
984017813
1040401840
1120895556
1211644840
1384a771b
1455199ba
153830db0
hex2687bb0

40401840 has 80 divisors (see below), whose sum is σ = 127063296. Its totient is φ = 10617600.

The previous prime is 40401839. The next prime is 40401857. The reversal of 40401840 is 4810404.

40401840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15855 + ... + 18225.

Almost surely, 240401840 is an apocalyptic number.

40401840 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 40401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63531648).

40401840 is an abundant number, since it is smaller than the sum of its proper divisors (86661456).

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

40401840 is a wasteful number, since it uses less digits than its factorization.

40401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 40401840 is about 6356.2441740386. The cubic root of 40401840 is about 343.1366035008.

The spelling of 40401840 in words is "forty million, four hundred one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2371 2840 3408 4260 4742 5680 7113 8520 9484 11855 14226 17040 18968 23710 28452 35565 37936 47420 56904 71130 94840 113808 142260 168341 189680 284520 336682 505023 569040 673364 841705 1010046 1346728 1683410 2020092 2525115 2693456 3366820 4040184 5050230 6733640 8080368 10100460 13467280 20200920 40401840