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52137280 = 2651383151
BaseRepresentation
bin1100011011100…
…0110101000000
310122002211220101
43012320311000
5101321343110
65101252144
71202105506
oct306706500
9118084811
1052137280
1127480568
1215564054
13aa56180
146cd2676
15489d13a
hex31b8d40

52137280 has 112 divisors (see below), whose sum is σ = 136209024. Its totient is φ = 18892800.

The previous prime is 52137277. The next prime is 52137287. The reversal of 52137280 is 8273125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52137287) 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 15 ways as a sum of consecutive naturals, for example, 345205 + ... + 345355.

It is an arithmetic number, because the mean of its divisors is an integer number (1216152).

Almost surely, 252137280 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 52137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104512).

52137280 is an abundant number, since it is smaller than the sum of its proper divisors (84071744).

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

52137280 is a wasteful number, since it uses less digits than its factorization.

52137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 52137280 is about 7220.6149322617. The cubic root of 52137280 is about 373.5792880410.

The spelling of 52137280 in words is "fifty-two million, one hundred thirty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 83 104 130 151 160 166 208 260 302 320 332 415 416 520 604 664 755 830 832 1040 1079 1208 1328 1510 1660 1963 2080 2158 2416 2656 3020 3320 3926 4160 4316 4832 5312 5395 6040 6640 7852 8632 9664 9815 10790 12080 12533 13280 15704 17264 19630 21580 24160 25066 26560 31408 34528 39260 43160 48320 50132 62665 62816 69056 78520 86320 100264 125330 125632 157040 162929 172640 200528 250660 314080 325858 345280 401056 501320 628160 651716 802112 814645 1002640 1303432 1629290 2005280 2606864 3258580 4010560 5213728 6517160 10427456 13034320 26068640 52137280