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40802000 = 245323887
BaseRepresentation
bin1001101110100…
…1011011010000
32211202221211012
42123221123100
540421131000
64014310052
71003545161
oct233513320
984687735
1040802000
1121039168
12117b8328
1385b78c5
1455c1768
1538ae735
hex26e96d0

40802000 has 80 divisors (see below), whose sum is σ = 103064832. Its totient is φ = 15593600.

The previous prime is 40801979. The next prime is 40802017. The reversal of 40802000 is 20804.

40802000 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 a congruent number.

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, 45557 + ... + 46443.

Almost surely, 240802000 is an apocalyptic number.

40802000 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 40802000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51532416).

40802000 is an abundant number, since it is smaller than the sum of its proper divisors (62262832).

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

40802000 is a wasteful number, since it uses less digits than its factorization.

40802000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 40802000 is about 6387.6443232228. The cubic root of 40802000 is about 344.2657492188.

Adding to 40802000 its reverse (20804), we get a palindrome (40822804).

The spelling of 40802000 in words is "forty million, eight hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 887 920 1000 1150 1774 1840 2000 2300 2875 3548 4435 4600 5750 7096 8870 9200 11500 14192 17740 20401 22175 23000 35480 40802 44350 46000 70960 81604 88700 102005 110875 163208 177400 204010 221750 326416 354800 408020 443500 510025 816040 887000 1020050 1632080 1774000 2040100 2550125 4080200 5100250 8160400 10200500 20401000 40802000