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53841344 = 262379463
BaseRepresentation
bin1100110101100…
…0110111000000
310202022102102212
43031120313000
5102240410334
65202001252
71222433564
oct315306700
9122272385
1053841344
1128434887
1216046228
13b2019ab
1472176a4
154ad7ece
hex3358dc0

53841344 has 56 divisors (see below), whose sum is σ = 113141760. Its totient is φ = 25369344.

The previous prime is 53841331. The next prime is 53841349. The reversal of 53841344 is 44314835.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 53841344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53841349) 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, 116057 + ... + 116519.

Almost surely, 253841344 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 53841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56570880).

53841344 is an abundant number, since it is smaller than the sum of its proper divisors (59300416).

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

53841344 is a wasteful number, since it uses less digits than its factorization.

53841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 567 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 53841344 is about 7337.6661139629. Note that the first 3 decimals coincide. The cubic root of 53841344 is about 377.6057777053.

The spelling of 53841344 in words is "fifty-three million, eight hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 79 92 158 184 316 368 463 632 736 926 1264 1472 1817 1852 2528 3634 3704 5056 7268 7408 10649 14536 14816 21298 29072 29632 36577 42596 58144 73154 85192 116288 146308 170384 292616 340768 585232 681536 841271 1170464 1682542 2340928 3365084 6730168 13460336 26920672 53841344