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53024760 = 23335291693
BaseRepresentation
bin1100101001000…
…1011111111000
310200202221022000
43022101133320
5102033243020
65132301000
71212463065
oct312213770
9120687260
1053024760
1127a27318
1215911760
13aca70c9
147083c6c
1549c6090
hex32917f8

53024760 has 128 divisors (see below), whose sum is σ = 182952000. Its totient is φ = 13644288.

The previous prime is 53024749. The next prime is 53024761. The reversal of 53024760 is 6742035.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53024761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30474 + ... + 32166.

Almost surely, 253024760 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 53024760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476000).

53024760 is an abundant number, since it is smaller than the sum of its proper divisors (129927240).

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

53024760 is a wasteful number, since it uses less digits than its factorization.

53024760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1742 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53024760 is about 7281.8102145002. The cubic root of 53024760 is about 375.6870604258.

Adding to 53024760 its reverse (6742035), we get a palindrome (59766795).

The spelling of 53024760 in words is "fifty-three million, twenty-four thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 87 90 108 116 120 135 145 174 180 216 232 261 270 290 348 360 435 522 540 580 696 783 870 1044 1080 1160 1305 1566 1693 1740 2088 2610 3132 3386 3480 3915 5079 5220 6264 6772 7830 8465 10158 10440 13544 15237 15660 16930 20316 25395 30474 31320 33860 40632 45711 49097 50790 60948 67720 76185 91422 98194 101580 121896 147291 152370 182844 196388 203160 228555 245485 294582 304740 365688 392776 441873 457110 490970 589164 609480 736455 883746 914220 981940 1178328 1325619 1472910 1767492 1828440 1963880 2209365 2651238 2945820 3534984 4418730 5302476 5891640 6628095 8837460 10604952 13256190 17674920 26512380 53024760