Search a number
-
+
88440040 = 23513533209
BaseRepresentation
bin1010100010101…
…11110011101000
320011102012221001
411101113303220
5140120040130
612435324344
72122504453
oct521276350
9204365831
1088440040
1145a16347
12257506b4
1315426bb0
14ba6249a
157b6e6ca
hex5457ce8

88440040 has 64 divisors (see below), whose sum is σ = 218408400. Its totient is φ = 32028672.

The previous prime is 88440031. The next prime is 88440059. The reversal of 88440040 is 4004488.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 33709636 + 54730404 = 5806^2 + 7398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88439990 and 88440008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25956 + ... + 29164.

Almost surely, 288440040 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 88440040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109204200).

88440040 is an abundant number, since it is smaller than the sum of its proper divisors (129968360).

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

88440040 is a wasteful number, since it uses less digits than its factorization.

88440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 88440040 is about 9404.2564831038. The cubic root of 88440040 is about 445.5361798565.

The spelling of 88440040 in words is "eighty-eight million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3209 3445 5512 6418 6890 12836 13780 16045 25672 27560 32090 41717 64180 83434 128360 166868 170077 208585 333736 340154 417170 680308 834340 850385 1360616 1668680 1700770 2211001 3401540 4422002 6803080 8844004 11055005 17688008 22110010 44220020 88440040