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53024136 = 23311219312
BaseRepresentation
bin1100101001000…
…1010110001000
310200202220102220
43022101112020
5102033233021
65132254040
71212461214
oct312212610
9120686386
1053024136
1127a26900
1215911320
13aca6a39
147083944
1549c5cc6
hex3291588

53024136 has 144 divisors (see below), whose sum is σ = 158482800. Its totient is φ = 14731200.

The previous prime is 53024113. The next prime is 53024137. The reversal of 53024136 is 63142035.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53024137) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1710441 + ... + 1710471.

It is an arithmetic number, because the mean of its divisors is an integer number (1100575).

Almost surely, 253024136 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 53024136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79241400).

53024136 is an abundant number, since it is smaller than the sum of its proper divisors (105458664).

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

53024136 is a wasteful number, since it uses less digits than its factorization.

53024136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 53024136 is about 7281.7673678854. The cubic root of 53024136 is about 375.6855867140.

The spelling of 53024136 in words is "fifty-three million, twenty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 121 124 132 152 186 209 228 242 248 264 341 363 372 418 456 484 589 627 682 726 744 836 961 968 1023 1178 1254 1364 1452 1672 1767 1922 2046 2299 2356 2508 2728 2883 2904 3534 3751 3844 4092 4598 4712 5016 5766 6479 6897 7068 7502 7688 8184 9196 10571 11253 11532 12958 13794 14136 15004 18259 18392 19437 21142 22506 23064 25916 27588 30008 31713 36518 38874 42284 45012 51832 54777 55176 63426 71269 73036 77748 84568 90024 109554 116281 126852 142538 146072 155496 200849 213807 219108 232562 253704 285076 348843 401698 427614 438216 465124 570152 602547 697686 803396 855228 930248 1205094 1395372 1606792 1710456 2209339 2410188 2790744 4418678 4820376 6628017 8837356 13256034 17674712 26512068 53024136