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40089800 = 2352414889
BaseRepresentation
bin1001100011101…
…1100011001000
32210102202212102
42120323203020
540230333200
63551132532
7664520612
oct230734310
983382772
1040089800
11206a2073
1211514148
1383c869a
145477db2
1537bd6d5
hex263b8c8

40089800 has 48 divisors (see below), whose sum is σ = 95501700. Its totient is φ = 15641600.

The previous prime is 40089779. The next prime is 40089811. The reversal of 40089800 is 898004.

It can be written as a sum of positive squares in 6 ways, for example, as 8031556 + 32058244 = 2834^2 + 5662^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5756 + ... + 10644.

Almost surely, 240089800 is an apocalyptic number.

40089800 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 40089800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47750850).

40089800 is an abundant number, since it is smaller than the sum of its proper divisors (55411900).

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

40089800 is a wasteful number, since it uses less digits than its factorization.

40089800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 40089800 is about 6331.6506536605. The cubic root of 40089800 is about 342.2509244556.

The spelling of 40089800 in words is "forty million, eighty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 4889 8200 9778 19556 24445 39112 48890 97780 122225 195560 200449 244450 400898 488900 801796 977800 1002245 1603592 2004490 4008980 5011225 8017960 10022450 20044900 40089800