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52099080 = 233511291361
BaseRepresentation
bin1100011010111…
…1100000001000
310122000220111120
43012233200020
5101314132310
65100355240
71201556235
oct306574010
9118026446
1052099080
11274548a0
1215545b20
13aa41977
146cc278c
154891b70
hex31af808

52099080 has 128 divisors (see below), whose sum is σ = 176515200. Its totient is φ = 12185600.

The previous prime is 52099079. The next prime is 52099081. The reversal of 52099080 is 8099025.

It is an interprime number because it is at equal distance from previous prime (52099079) and next prime (52099081).

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 (52099081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37600 + ... + 38960.

It is an arithmetic number, because the mean of its divisors is an integer number (1379025).

Almost surely, 252099080 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 52099080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88257600).

52099080 is an abundant number, since it is smaller than the sum of its proper divisors (124416120).

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

52099080 is a wasteful number, since it uses less digits than its factorization.

52099080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 52099080 is about 7217.9692434922. The cubic root of 52099080 is about 373.4880275871.

The spelling of 52099080 in words is "fifty-two million, ninety-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 165 174 220 232 264 290 319 330 348 435 440 580 638 660 696 870 957 1160 1276 1320 1361 1595 1740 1914 2552 2722 3190 3480 3828 4083 4785 5444 6380 6805 7656 8166 9570 10888 12760 13610 14971 16332 19140 20415 27220 29942 32664 38280 39469 40830 44913 54440 59884 74855 78938 81660 89826 118407 119768 149710 157876 163320 179652 197345 224565 236814 299420 315752 359304 394690 434159 449130 473628 592035 598840 789380 868318 898260 947256 1184070 1302477 1578760 1736636 1796520 2170795 2368140 2604954 3473272 4341590 4736280 5209908 6512385 8683180 10419816 13024770 17366360 26049540 52099080