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52026920 = 23511235397
BaseRepresentation
bin1100011001110…
…1111000101000
310121220020111222
43012131320220
5101304330140
65055041212
71201135661
oct306357050
9117806458
1052026920
1127405660
1215510208
13aa17b7a
146ca4368
15487a5b5
hex319de28

52026920 has 128 divisors (see below), whose sum is σ = 137168640. Its totient is φ = 17571840.

The previous prime is 52026917. The next prime is 52026929. The reversal of 52026920 is 2962025.

52026920 = T96 + T97 + ... + T678.

52026920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with 85141719 it forms a betrothed pair.

It is a self number, because there is not a number n which added to its sum of digits gives 52026920.

It is not an unprimeable number, because it can be changed into a prime (52026929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536312 + ... + 536408.

It is an arithmetic number, because the mean of its divisors is an integer number (1071630).

Almost surely, 252026920 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 52026920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68584320).

52026920 is an abundant number, since it is smaller than the sum of its proper divisors (85141720).

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

52026920 is a wasteful number, since it uses less digits than its factorization.

52026920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 52026920 is about 7212.9688755741. The cubic root of 52026920 is about 373.3155143139.

Adding to 52026920 its reverse (2962025), we get a palindrome (54988945).

The spelling of 52026920 in words is "fifty-two million, twenty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 53 55 88 92 97 106 110 115 184 194 212 220 230 253 265 388 424 440 460 485 506 530 583 776 920 970 1012 1060 1067 1166 1219 1265 1940 2024 2120 2134 2231 2332 2438 2530 2915 3880 4268 4462 4664 4876 5060 5141 5335 5830 6095 8536 8924 9752 10120 10282 10670 11155 11660 12190 13409 17848 20564 21340 22310 23320 24380 24541 25705 26818 41128 42680 44620 48760 49082 51410 53636 56551 67045 89240 98164 102820 107272 113102 118243 122705 134090 196328 205640 226204 236486 245410 268180 282755 452408 472972 490820 536360 565510 591215 945944 981640 1131020 1182430 1300673 2262040 2364860 2601346 4729720 5202692 6503365 10405384 13006730 26013460 52026920