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40420480 = 275137461
BaseRepresentation
bin1001101000110…
…0010010000000
32211001120110211
42122030102000
540321423410
64002203504
71000365652
oct232142200
984046424
1040420480
11208a8561
1211653594
1384b3059
1455226d2
15383668a
hex268c480

40420480 has 64 divisors (see below), whose sum is σ = 97546680. Its totient is φ = 16015360.

The previous prime is 40420477. The next prime is 40420481. The reversal of 40420480 is 8402404.

It can be written as a sum of positive squares in 4 ways, for example, as 30735936 + 9684544 = 5544^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (40420481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87450 + ... + 87910.

Almost surely, 240420480 is an apocalyptic number.

40420480 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 40420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48773340).

40420480 is an abundant number, since it is smaller than the sum of its proper divisors (57126200).

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

40420480 is a wasteful number, since it uses less digits than its factorization.

40420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 40420480 is about 6357.7102796526. The cubic root of 40420480 is about 343.1893658081.

Adding to 40420480 its reverse (8402404), we get a palindrome (48822884).

The spelling of 40420480 in words is "forty million, four hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 137 160 274 320 461 548 640 685 922 1096 1370 1844 2192 2305 2740 3688 4384 4610 5480 7376 8768 9220 10960 14752 17536 18440 21920 29504 36880 43840 59008 63157 73760 87680 126314 147520 252628 295040 315785 505256 631570 1010512 1263140 2021024 2526280 4042048 5052560 8084096 10105120 20210240 40420480