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40044480 = 2635759101
BaseRepresentation
bin1001100011000…
…0011111000000
32210100110200220
42120300133000
540222410410
63550143040
7664241520
oct230603700
983313626
1040044480
1120671013
12114b1a80
1383b0b78
145465680
1537b0070
hex26307c0

40044480 has 224 divisors, whose sum is σ = 149230080. Its totient is φ = 8908800.

The previous prime is 40044479. The next prime is 40044509. The reversal of 40044480 is 8444004.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40044480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396430 + ... + 396530.

Almost surely, 240044480 is an apocalyptic number.

40044480 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 40044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74615040).

40044480 is an abundant number, since it is smaller than the sum of its proper divisors (109185600).

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

40044480 is a wasteful number, since it uses less digits than its factorization.

40044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 40044480 is about 6328.0707960642. The cubic root of 40044480 is about 342.1219085932.

Adding to 40044480 its reverse (8444004), we get a palindrome (48488484).

The spelling of 40044480 in words is "forty million, forty-four thousand, four hundred eighty".