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53354052 = 223819107
BaseRepresentation
bin1100101110000…
…1111001000100
310201101200000000
43023201321010
5102124312202
65143321300
71215334113
oct313417104
9121350000
1053354052
1128131764
1215a50230
13b090c5b
14712bc7a
154a3d91c
hex32e1e44

53354052 has 108 divisors (see below), whose sum is σ = 148795920. Its totient is φ = 16691184.

The previous prime is 53354051. The next prime is 53354053. The reversal of 53354052 is 25045335.

It is an interprime number because it is at equal distance from previous prime (53354051) and next prime (53354053).

It is a tau number, because it is divible by the number of its divisors (108).

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 (53354051) 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, 498583 + ... + 498689.

It is an arithmetic number, because the mean of its divisors is an integer number (1377740).

Almost surely, 253354052 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 53354052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74397960).

53354052 is an abundant number, since it is smaller than the sum of its proper divisors (95441868).

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

53354052 is a wasteful number, since it uses less digits than its factorization.

53354052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 53354052 is about 7304.3858058019. The cubic root of 53354052 is about 376.4631477715.

Adding to 53354052 its reverse (25045335), we get a palindrome (78399387).

The spelling of 53354052 in words is "fifty-three million, three hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 107 108 114 162 171 214 228 243 321 324 342 428 486 513 642 684 729 963 972 1026 1284 1458 1539 1926 2033 2052 2187 2889 2916 3078 3852 4066 4374 4617 5778 6099 6156 6561 8132 8667 8748 9234 11556 12198 13122 13851 17334 18297 18468 24396 26001 26244 27702 34668 36594 41553 52002 54891 55404 73188 78003 83106 104004 109782 124659 156006 164673 166212 219564 234009 249318 312012 329346 468018 494019 498636 658692 702027 936036 988038 1404054 1482057 1976076 2808108 2964114 4446171 5928228 8892342 13338513 17784684 26677026 53354052