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40255440 = 2435414091
BaseRepresentation
bin1001100110001…
…1111111010000
32210202012002020
42121203333100
540301133230
63554451440
7666110541
oct231437720
983665066
1040255440
11207a5565
1211593b80
138455bb4
1454bc4c8
153802810
hex2663fd0

40255440 has 80 divisors (see below), whose sum is σ = 127866816. Its totient is φ = 10470400.

The previous prime is 40255429. The next prime is 40255447. The reversal of 40255440 is 4455204.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40255440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40255447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7795 + ... + 11885.

Almost surely, 240255440 is an apocalyptic number.

40255440 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 40255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63933408).

40255440 is an abundant number, since it is smaller than the sum of its proper divisors (87611376).

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

40255440 is a wasteful number, since it uses less digits than its factorization.

40255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 40255440 is about 6344.7174878004. The cubic root of 40255440 is about 342.7216389135.

The spelling of 40255440 in words is "forty million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4091 4920 8182 9840 12273 16364 20455 24546 32728 40910 49092 61365 65456 81820 98184 122730 163640 167731 196368 245460 327280 335462 490920 503193 670924 838655 981840 1006386 1341848 1677310 2012772 2515965 2683696 3354620 4025544 5031930 6709240 8051088 10063860 13418480 20127720 40255440