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53250048 = 21135107
BaseRepresentation
bin1100101100100…
…0100000000000
310201012101100000
43023020200000
5102113000143
65141200000
71214421645
oct313104000
9121171300
1053250048
1128070605
1215a00000
13b055807
147101dcc
154a1cbd3
hex32c8800

53250048 has 144 divisors (see below), whose sum is σ = 160982640. Its totient is φ = 17584128.

The previous prime is 53250047. The next prime is 53250049. The reversal of 53250048 is 84005235.

It is an interprime number because it is at equal distance from previous prime (53250047) and next prime (53250049).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×532500482 = 5671135224004608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53250047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 497611 + ... + 497717.

It is an arithmetic number, because the mean of its divisors is an integer number (1117935).

Almost surely, 253250048 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 53250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320).

53250048 is an abundant number, since it is smaller than the sum of its proper divisors (107732592).

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

53250048 is an equidigital number, since it uses as much as digits as its factorization.

53250048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53250048 is about 7297.2630485683. The cubic root of 53250048 is about 376.2183732241.

The spelling of 53250048 in words is "fifty-three million, two hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 128 144 162 192 214 216 243 256 288 321 324 384 428 432 486 512 576 642 648 768 856 864 963 972 1024 1152 1284 1296 1536 1712 1728 1926 1944 2048 2304 2568 2592 2889 3072 3424 3456 3852 3888 4608 5136 5184 5778 6144 6848 6912 7704 7776 8667 9216 10272 10368 11556 13696 13824 15408 15552 17334 18432 20544 20736 23112 26001 27392 27648 30816 31104 34668 41088 41472 46224 52002 54784 55296 61632 62208 69336 82176 82944 92448 104004 109568 123264 124416 138672 164352 165888 184896 208008 219136 246528 248832 277344 328704 369792 416016 493056 497664 554688 657408 739584 832032 986112 1109376 1479168 1664064 1972224 2218752 2958336 3328128 4437504 5916672 6656256 8875008 13312512 17750016 26625024 53250048