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52249120 = 2557114241
BaseRepresentation
bin1100011101010…
…0001000100000
310122022112022121
43013110020200
5101333432440
65103514024
71203052540
oct307241040
9118275277
1052249120
11275475a0
12155b8914
13aa95051
146d21320
1548c134a
hex31d4220

52249120 has 96 divisors (see below), whose sum is σ = 153933696. Its totient is φ = 16281600.

The previous prime is 52249111. The next prime is 52249121. The reversal of 52249120 is 2194225.

It is not an unprimeable number, because it can be changed into a prime (52249121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10200 + ... + 14440.

It is an arithmetic number, because the mean of its divisors is an integer number (1603476).

Almost surely, 252249120 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 52249120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76966848).

52249120 is an abundant number, since it is smaller than the sum of its proper divisors (101684576).

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

52249120 is a wasteful number, since it uses less digits than its factorization.

52249120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4266 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 52249120 is about 7228.3552762714. The cubic root of 52249120 is about 373.8462196759.

The spelling of 52249120 in words is "fifty-two million, two hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 4241 6160 8482 12320 16964 21205 29687 33928 42410 46651 59374 67856 84820 93302 118748 135712 148435 169640 186604 233255 237496 296870 326557 339280 373208 466510 474992 593740 653114 678560 746416 933020 949984 1187480 1306228 1492832 1632785 1866040 2374960 2612456 3265570 3732080 4749920 5224912 6531140 7464160 10449824 13062280 26124560 52249120