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80833440 = 2535295807
BaseRepresentation
bin1001101000101…
…10101110100000
312122002202122010
410310112232200
5131143132230
612004312520
72001034002
oct464265640
9178082563
1080833440
11416a03a6
12230a2740
131399284c
14aa42372
15716a9b0
hex4d16ba0

80833440 has 96 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 20808704.

The previous prime is 80833409. The next prime is 80833447. The reversal of 80833440 is 4433808.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 80833398 and 80833407.

It is not an unprimeable number, because it can be changed into a prime (80833447) 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, 11017 + ... + 16823.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 280833440 is an apocalyptic number.

80833440 is a gapful number since it is divisible by the number (80) 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 80833440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

80833440 is an abundant number, since it is smaller than the sum of its proper divisors (182617440).

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

80833440 is a wasteful number, since it uses less digits than its factorization.

80833440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 80833440 is about 8990.7419048708. The cubic root of 80833440 is about 432.3780983366.

The spelling of 80833440 in words is "eighty million, eight hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 5807 6960 11614 13920 17421 23228 29035 34842 46456 58070 69684 87105 92912 116140 139368 168403 174210 185824 232280 278736 336806 348420 464560 505209 557472 673612 696840 842015 929120 1010418 1347224 1393680 1684030 2020836 2526045 2694448 2787360 3368060 4041672 5052090 5388896 6736120 8083344 10104180 13472240 16166688 20208360 26944480 40416720 80833440