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52910880 = 2535112911
BaseRepresentation
bin1100100111010…
…1101100100000
310200120011002020
43021311230200
5102021122010
65130021440
71211510061
oct311655440
9120504066
1052910880
1127959800
1215877880
13ac67319
147054568
1549a2470
hex3275b20

52910880 has 144 divisors (see below), whose sum is σ = 183399552. Its totient is φ = 12812800.

The previous prime is 52910873. The next prime is 52910887. The reversal of 52910880 is 8801925.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52910873) and next prime (52910887).

It is a super-2 number, since 2×529108802 = 5599122444748800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (52910887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57625 + ... + 58535.

It is an arithmetic number, because the mean of its divisors is an integer number (1273608).

Almost surely, 252910880 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 52910880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91699776).

52910880 is an abundant number, since it is smaller than the sum of its proper divisors (130488672).

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

52910880 is a wasteful number, since it uses less digits than its factorization.

52910880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 52910880 is about 7273.9865273452. The cubic root of 52910880 is about 375.4179163051.

The spelling of 52910880 in words is "fifty-two million, nine hundred ten thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 911 968 1056 1210 1320 1452 1760 1815 1822 1936 2420 2640 2733 2904 3630 3644 3872 4555 4840 5280 5466 5808 7260 7288 9110 9680 10021 10932 11616 13665 14520 14576 18220 19360 20042 21864 27330 29040 29152 30063 36440 40084 43728 50105 54660 58080 60126 72880 80168 87456 100210 109320 110231 120252 145760 150315 160336 200420 218640 220462 240504 300630 320672 330693 400840 437280 440924 481008 551155 601260 661386 801680 881848 962016 1102310 1202520 1322772 1603360 1653465 1763696 2204620 2405040 2645544 3306930 3527392 4409240 4810080 5291088 6613860 8818480 10582176 13227720 17636960 26455440 52910880