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53020548 = 22337243233
BaseRepresentation
bin1100101001000…
…0011110000100
310200202201112000
43022100132010
5102033124143
65132225300
71212444600
oct312203604
9120681460
1053020548
1127a24139
121590b230
13aca5209
147082500
1549c4bd3
hex3290784

53020548 has 144 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 14732928.

The previous prime is 53020531. The next prime is 53020549. The reversal of 53020548 is 84502035.

It is a super-2 number, since 2×530205482 = 5622357020440608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (53020549) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227440 + ... + 227672.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 253020548 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 53020548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

53020548 is an abundant number, since it is smaller than the sum of its proper divisors (111303612).

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

53020548 is a wasteful number, since it uses less digits than its factorization.

53020548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 288 counting only the distinct ones).

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

The square root of 53020548 is about 7281.5209949570. The cubic root of 53020548 is about 375.6771126467.

The spelling of 53020548 in words is "fifty-three million, twenty thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 49 54 63 84 86 98 108 126 129 147 172 189 196 233 252 258 294 301 378 387 441 466 516 588 602 699 756 774 882 903 932 1161 1204 1323 1398 1548 1631 1764 1806 2097 2107 2322 2646 2709 2796 3262 3612 4194 4214 4644 4893 5292 5418 6291 6321 6524 8127 8388 8428 9786 10019 10836 11417 12582 12642 14679 16254 18963 19572 20038 22834 25164 25284 29358 30057 32508 34251 37926 40076 44037 45668 56889 58716 60114 68502 70133 75852 88074 90171 102753 113778 120228 137004 140266 176148 180342 205506 210399 227556 270513 280532 308259 360684 411012 420798 490931 541026 616518 631197 841596 981862 1082052 1233036 1262394 1472793 1893591 1963724 2524788 2945586 3787182 4418379 5891172 7574364 8836758 13255137 17673516 26510274 53020548