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51320832 = 21138353
BaseRepresentation
bin1100001111000…
…1100000000000
310120120100221120
43003301200000
5101114231312
65031552240
71162135263
oct303614000
9116510846
1051320832
1126a73112
121522b680
13a82b674
146b5ccda
15478b28c
hex30f1800

51320832 has 48 divisors (see below), whose sum is σ = 136838520. Its totient is φ = 17104896.

The previous prime is 51320803. The next prime is 51320837. The reversal of 51320832 is 23802315.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51320837) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1968 + ... + 10320.

Almost surely, 251320832 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 51320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68419260).

51320832 is an abundant number, since it is smaller than the sum of its proper divisors (85517688).

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

51320832 is an equidigital number, since it uses as much as digits as its factorization.

51320832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8378 (or 8358 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 51320832 is about 7163.8559449503. The cubic root of 51320832 is about 371.6189878534.

The spelling of 51320832 in words is "fifty-one million, three hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 8353 16706 25059 33412 50118 66824 100236 133648 200472 267296 400944 534592 801888 1069184 1603776 2138368 3207552 4276736 6415104 8553472 12830208 17106944 25660416 51320832