Search a number
-
+
52189740 = 223253147199
BaseRepresentation
bin1100011100010…
…1101000101100
310122012111212100
43013011220230
5101330032430
65102335100
71202414451
oct307055054
9118174770
1052189740
1127506a19
121558a490
13aa74005
146d07828
1548ad960
hex31c5a2c

52189740 has 144 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 13115520.

The previous prime is 52189727. The next prime is 52189759. The reversal of 52189740 is 4798125.

52189740 is a `hidden beast` number, since 521 + 8 + 97 + 40 = 666.

It is a super-2 number, since 2×521897402 = 5447537922535200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52189695 and 52189704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262161 + ... + 262359.

It is an arithmetic number, because the mean of its divisors is an integer number (1164800).

Almost surely, 252189740 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 52189740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

52189740 is an abundant number, since it is smaller than the sum of its proper divisors (115541460).

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

52189740 is a wasteful number, since it uses less digits than its factorization.

52189740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 52189740 is about 7224.2466735294. The cubic root of 52189740 is about 373.7045432649.

The spelling of 52189740 in words is "fifty-two million, one hundred eighty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 199 235 279 282 310 372 398 423 465 470 558 564 597 620 705 796 846 930 940 995 1116 1194 1395 1410 1457 1692 1791 1860 1990 2115 2388 2790 2820 2914 2985 3582 3980 4230 4371 5580 5828 5970 6169 7164 7285 8460 8742 8955 9353 11940 12338 13113 14570 17484 17910 18507 18706 21855 24676 26226 28059 29140 30845 35820 37014 37412 43710 46765 52452 55521 56118 61690 65565 74028 84177 87420 92535 93530 111042 112236 123380 131130 140295 168354 185070 187060 222084 262260 277605 280590 289943 336708 370140 420885 555210 561180 579886 841770 869829 1110420 1159772 1449715 1683540 1739658 2609487 2899430 3479316 4349145 5218974 5798860 8698290 10437948 13047435 17396580 26094870 52189740