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80400440 = 2356183397
BaseRepresentation
bin1001100101011…
…01000000111000
312121021202200002
410302231000320
5131040303230
611551132132
71664251421
oct462550070
9177252602
1080400440
114142504a
1222b14048
1313870733
14a96c648
1570d2545
hex4cad038

80400440 has 64 divisors (see below), whose sum is σ = 186550560. Its totient is φ = 31173120.

The previous prime is 80400431. The next prime is 80400443. The reversal of 80400440 is 4400408.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80400443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202322 + ... + 202718.

Almost surely, 280400440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93275280).

80400440 is an abundant number, since it is smaller than the sum of its proper divisors (106150120).

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

80400440 is a wasteful number, since it uses less digits than its factorization.

80400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 80400440 is about 8966.6292440359. The cubic root of 80400440 is about 431.6046766443.

Adding to 80400440 its reverse (4400408), we get a palindrome (84800848).

The spelling of 80400440 in words is "eighty million, four hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 83 122 166 244 305 332 397 415 488 610 664 794 830 1220 1588 1660 1985 2440 3176 3320 3970 5063 7940 10126 15880 20252 24217 25315 32951 40504 48434 50630 65902 96868 101260 121085 131804 164755 193736 202520 242170 263608 329510 484340 659020 968680 1318040 2010011 4020022 8040044 10050055 16080088 20100110 40200220 80400440