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53384448 = 283135347
BaseRepresentation
bin1100101110100…
…1010100000000
310201110012200210
43023221110000
5102131300243
65144114120
71215521535
oct313512400
9121405623
1053384448
1128152587
1215a65940
13b0a1a40
147138d8c
154a47933
hex32e9500

53384448 has 72 divisors (see below), whose sum is σ = 153038368. Its totient is φ = 16422912.

The previous prime is 53384431. The next prime is 53384473. The reversal of 53384448 is 84448335.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7311 + ... + 12657.

Almost surely, 253384448 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 53384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76519184).

53384448 is an abundant number, since it is smaller than the sum of its proper divisors (99653920).

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

53384448 is a wasteful number, since it uses less digits than its factorization.

53384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5365 counting only the distinct ones).

The product of its digits is 184320, while the sum is 39.

The square root of 53384448 is about 7306.4661772980. The cubic root of 53384448 is about 376.5346250137.

The spelling of 53384448 in words is "fifty-three million, three hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1664 2496 3328 4992 5347 9984 10694 16041 21388 32082 42776 64164 69511 85552 128328 139022 171104 208533 256656 278044 342208 417066 513312 556088 684416 834132 1026624 1112176 1368832 1668264 2053248 2224352 3336528 4106496 4448704 6673056 8897408 13346112 17794816 26692224 53384448