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40355808 = 2534110253
BaseRepresentation
bin1001100111110…
…0011111100000
32210221021202120
42121330133200
540312341213
64000544240
71000006263
oct231743740
983837676
1040355808
1120863a09
1211622080
13848c79c
145506cda
153822423
hex267c7e0

40355808 has 48 divisors (see below), whose sum is σ = 108528336. Its totient is φ = 13122560.

The previous prime is 40355779. The next prime is 40355827. The reversal of 40355808 is 80855304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191 + ... + 9062.

It is an arithmetic number, because the mean of its divisors is an integer number (2261007).

Almost surely, 240355808 is an apocalyptic number.

40355808 is a gapful number since it is divisible by the number (48) 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 40355808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54264168).

40355808 is an abundant number, since it is smaller than the sum of its proper divisors (68172528).

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

40355808 is a wasteful number, since it uses less digits than its factorization.

40355808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10307 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 40355808 is about 6352.6221357798. The cubic root of 40355808 is about 343.0062359504.

The spelling of 40355808 in words is "forty million, three hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10253 20506 30759 41012 61518 82024 123036 164048 246072 328096 420373 492144 840746 984288 1261119 1681492 2522238 3362984 5044476 6725968 10088952 13451936 20177904 40355808