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53471392 = 2513177561
BaseRepresentation
bin1100101111111…
…0100010100000
310201121121221221
43023332202200
5102142041032
65150024424
71216333162
oct313764240
9121547857
1053471392
1128201937
1215aa8114
13b1024a0
14715c932
154a63597
hex32fe8a0

53471392 has 48 divisors (see below), whose sum is σ = 120054312. Its totient is φ = 23224320.

The previous prime is 53471357. The next prime is 53471399. The reversal of 53471392 is 29317435.

53471392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 37503376 + 15968016 = 6124^2 + 3996^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (53471399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3292 + ... + 10852.

Almost surely, 253471392 is an apocalyptic number.

53471392 is a gapful number since it is divisible by the number (52) 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 53471392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60027156).

53471392 is an abundant number, since it is smaller than the sum of its proper divisors (66582920).

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

53471392 is a wasteful number, since it uses less digits than its factorization.

53471392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7593 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 53471392 is about 7312.4135550446. The cubic root of 53471392 is about 376.7389271482.

The spelling of 53471392 in words is "fifty-three million, four hundred seventy-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 7561 15122 30244 60488 98293 120976 128537 196586 241952 257074 393172 514148 786344 1028296 1572688 1670981 2056592 3145376 3341962 4113184 6683924 13367848 26735696 53471392