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5465376 = 253272711
BaseRepresentation
bin10100110110010100100000
3101021200002100
4110312110200
52344343001
6313050400
764312020
oct24662440
911250070
105465376
1130a3244
1219b6a00
131194867
14a23a80
1572e586
hex536520

5465376 has 72 divisors (see below), whose sum is σ = 17769024. Its totient is φ = 1560960.

The previous prime is 5465359. The next prime is 5465377. The reversal of 5465376 is 6735645.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5465376.

It is not an unprimeable number, because it can be changed into a prime (5465377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 661 + ... + 3371.

It is an arithmetic number, because the mean of its divisors is an integer number (246792).

Almost surely, 25465376 is an apocalyptic number.

5465376 is a gapful number since it is divisible by the number (56) 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 5465376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8884512).

5465376 is an abundant number, since it is smaller than the sum of its proper divisors (12303648).

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

5465376 is a wasteful number, since it uses less digits than its factorization.

5465376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2723 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5465376 is about 2337.8143638878. The cubic root of 5465376 is about 176.1462283358.

The spelling of 5465376 in words is "five million, four hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 2711 5422 8133 10844 16266 18977 21688 24399 32532 37954 43376 48798 56931 65064 75908 86752 97596 113862 130128 151816 170793 195192 227724 260256 303632 341586 390384 455448 607264 683172 780768 910896 1366344 1821792 2732688 5465376