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53432448 = 273347401
BaseRepresentation
bin1100101111010…
…1000010000000
310201112122112120
43023311002000
5102134314243
65145124240
71216111506
oct313650200
9121478476
1053432448
1128185653
1215a89680
13b0ba844
14714c676
154a56c83
hex32f5080

53432448 has 64 divisors (see below), whose sum is σ = 142693920. Its totient is φ = 17715200.

The previous prime is 53432447. The next prime is 53432459. The reversal of 53432448 is 84423435.

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 (53432447) 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, 133048 + ... + 133448.

Almost surely, 253432448 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 53432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71346960).

53432448 is an abundant number, since it is smaller than the sum of its proper divisors (89261472).

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

53432448 is a wasteful number, since it uses less digits than its factorization.

53432448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 753 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 53432448 is about 7309.7502009303. The cubic root of 53432448 is about 376.6474434373.

The spelling of 53432448 in words is "fifty-three million, four hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 347 384 401 694 802 1041 1203 1388 1604 2082 2406 2776 3208 4164 4812 5552 6416 8328 9624 11104 12832 16656 19248 22208 25664 33312 38496 44416 51328 66624 76992 133248 139147 153984 278294 417441 556588 834882 1113176 1669764 2226352 3339528 4452704 6679056 8905408 13358112 17810816 26716224 53432448