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53041632 = 2537174643
BaseRepresentation
bin1100101001010…
…1100111100000
310200210210102220
43022111213200
5102034313012
65132511040
71212563220
oct312254740
9120723386
1053041632
1127a38a66
121591b480
13acb19a7
14708a080
1549cb08c
hex32959e0

53041632 has 96 divisors (see below), whose sum is σ = 168521472. Its totient is φ = 14260224.

The previous prime is 53041621. The next prime is 53041643. The reversal of 53041632 is 23614035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (53041621) and next prime (53041643).

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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9103 + ... + 13745.

It is an arithmetic number, because the mean of its divisors is an integer number (1755432).

Almost surely, 253041632 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 53041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84260736).

53041632 is an abundant number, since it is smaller than the sum of its proper divisors (115479840).

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

53041632 is a wasteful number, since it uses less digits than its factorization.

53041632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4672 counting only the distinct ones).

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

The square root of 53041632 is about 7282.9686254988. The cubic root of 53041632 is about 375.7269029441.

Adding to 53041632 its reverse (23614035), we get a palindrome (76655667).

The spelling of 53041632 in words is "fifty-three million, forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 4643 5712 9286 11424 13929 18572 27858 32501 37144 55716 65002 74288 78931 97503 111432 130004 148576 157862 195006 222864 236793 260008 315724 390012 445728 473586 520016 552517 631448 780024 947172 1040032 1105034 1262896 1560048 1657551 1894344 2210068 2525792 3120096 3315102 3788688 4420136 6630204 7577376 8840272 13260408 17680544 26520816 53041632