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52029360 = 24325127569
BaseRepresentation
bin1100011001111…
…0011110110000
310121220100212100
43012132132300
5101304414420
65055100400
71201146045
oct306363660
9117810770
1052029360
1127407479
1215511700
13aa19006
146ca51cc
15487b190
hex319e7b0

52029360 has 120 divisors (see below), whose sum is σ = 176417280. Its totient is φ = 13741056.

The previous prime is 52029359. The next prime is 52029379. The reversal of 52029360 is 6392025.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91156 + ... + 91724.

It is an arithmetic number, because the mean of its divisors is an integer number (1470144).

Almost surely, 252029360 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 52029360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88208640).

52029360 is an abundant number, since it is smaller than the sum of its proper divisors (124387920).

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

52029360 is a wasteful number, since it uses less digits than its factorization.

52029360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 52029360 is about 7213.1380133753. The cubic root of 52029360 is about 373.3213502390.

The spelling of 52029360 in words is "fifty-two million, twenty-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 569 635 720 762 1016 1138 1143 1270 1524 1707 1905 2032 2276 2286 2540 2845 3048 3414 3810 4552 4572 5080 5121 5690 5715 6096 6828 7620 8535 9104 9144 10160 10242 11380 11430 13656 15240 17070 18288 20484 22760 22860 25605 27312 30480 34140 40968 45520 45720 51210 68280 72263 81936 91440 102420 136560 144526 204840 216789 289052 361315 409680 433578 578104 650367 722630 867156 1083945 1156208 1300734 1445260 1734312 2167890 2601468 2890520 3251835 3468624 4335780 5202936 5781040 6503670 8671560 10405872 13007340 17343120 26014680 52029360