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53914752 = 2732172753
BaseRepresentation
bin1100110110101…
…0110010000000
310202110011010200
43031222302000
5102300233002
65203325200
71223160603
oct315526200
9122404120
1053914752
1128484a51
1216080800
13b229228
14723633a
154aeeb1c
hex336ac80

53914752 has 96 divisors (see below), whose sum is σ = 164331180. Its totient is φ = 16908288.

The previous prime is 53914747. The next prime is 53914771. The reversal of 53914752 is 25741935.

It can be written as a sum of positive squares in 2 ways, for example, as 45481536 + 8433216 = 6744^2 + 2904^2 .

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18208 + ... + 20960.

Almost surely, 253914752 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 53914752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82165590).

53914752 is an abundant number, since it is smaller than the sum of its proper divisors (110416428).

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

53914752 is a wasteful number, since it uses less digits than its factorization.

53914752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2775 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 53914752 is about 7342.6665456086. Note that the first 3 decimals coincide. The cubic root of 53914752 is about 377.7773106748. Note that the first 3 decimals are identical.

The spelling of 53914752 in words is "fifty-three million, nine hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 2753 3264 4896 5506 6528 8259 9792 11012 16518 19584 22024 24777 33036 44048 46801 49554 66072 88096 93602 99108 132144 140403 176192 187204 198216 264288 280806 352384 374408 396432 421209 528576 561612 748816 792864 842418 1057152 1123224 1497632 1585728 1684836 2246448 2995264 3171456 3369672 4492896 5990528 6739344 8985792 13478688 17971584 26957376 53914752