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40939008 = 293112423
BaseRepresentation
bin1001110000101…
…0111000000000
32212000220202120
42130022320000
540440022013
64021244240
71004655465
oct234127000
985026676
1040939008
11211220a0
1211863680
138635086
14561966c
1538da123
hex270ae00

40939008 has 80 divisors (see below), whose sum is σ = 119028096. Its totient is φ = 12400640.

The previous prime is 40938973. The next prime is 40939013. The reversal of 40939008 is 80093904.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 40939008.

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, 15685 + ... + 18107.

Almost surely, 240939008 is an apocalyptic number.

40939008 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 40939008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59514048).

40939008 is an abundant number, since it is smaller than the sum of its proper divisors (78089088).

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

40939008 is a wasteful number, since it uses less digits than its factorization.

40939008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 40939008 is about 6398.3597898211. The cubic root of 40939008 is about 344.6506524607.

The spelling of 40939008 in words is "forty million, nine hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2423 2816 4224 4846 5632 7269 8448 9692 14538 16896 19384 26653 29076 38768 53306 58152 77536 79959 106612 116304 155072 159918 213224 232608 310144 319836 426448 465216 620288 639672 852896 930432 1240576 1279344 1705792 1860864 2558688 3411584 3721728 5117376 6823168 10234752 13646336 20469504 40939008