Search a number
-
+
53483520 = 211351741
BaseRepresentation
bin1100110000000…
…1100000000000
310201122020121010
43030001200000
5102142433040
65150200520
71216413426
oct314014000
9121566533
1053483520
112820aa62
1215ab3140
13b107b6c
147163116
154a66e80
hex3301800

53483520 has 96 divisors (see below), whose sum is σ = 171203760. Its totient is φ = 14254080.

The previous prime is 53483503. The next prime is 53483527. The reversal of 53483520 is 2538435.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 (53483527) 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, 29850 + ... + 31590.

Almost surely, 253483520 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 53483520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85601880).

53483520 is an abundant number, since it is smaller than the sum of its proper divisors (117720240).

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

53483520 is a wasteful number, since it uses less digits than its factorization.

53483520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 53483520 is about 7313.2427827879. The cubic root of 53483520 is about 376.7674080744.

The spelling of 53483520 in words is "fifty-three million, four hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1741 1920 2048 2560 3072 3482 3840 5120 5223 6144 6964 7680 8705 10240 10446 13928 15360 17410 20892 26115 27856 30720 34820 41784 52230 55712 69640 83568 104460 111424 139280 167136 208920 222848 278560 334272 417840 445696 557120 668544 835680 891392 1114240 1337088 1671360 1782784 2228480 2674176 3342720 3565568 4456960 5348352 6685440 8913920 10696704 13370880 17827840 26741760 53483520