Search a number
-
+
52263680 = 285719307
BaseRepresentation
bin1100011101011…
…1101100000000
310122100021021212
43013113230000
5101334414210
65104105252
71203143150
oct307275400
9118307255
1052263680
1127557527
1215605228
13aa9b871
146d26760
1548c5805
hex31d7b00

52263680 has 144 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 16920576.

The previous prime is 52263677. The next prime is 52263691. The reversal of 52263680 is 8636225.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170087 + ... + 170393.

Almost surely, 252263680 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 52263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

52263680 is an abundant number, since it is smaller than the sum of its proper divisors (98828800).

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

52263680 is a wasteful number, since it uses less digits than its factorization.

52263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 52263680 is about 7229.3623508578. The cubic root of 52263680 is about 373.8809424006.

The spelling of 52263680 in words is "fifty-two million, two hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 128 133 140 152 160 190 224 256 266 280 304 307 320 380 448 532 560 608 614 640 665 760 896 1064 1120 1216 1228 1280 1330 1520 1535 1792 2128 2149 2240 2432 2456 2660 3040 3070 4256 4298 4480 4864 4912 5320 5833 6080 6140 8512 8596 8960 9824 10640 10745 11666 12160 12280 17024 17192 19648 21280 21490 23332 24320 24560 29165 34048 34384 39296 40831 42560 42980 46664 49120 58330 68768 78592 81662 85120 85960 93328 98240 116660 137536 163324 170240 171920 186656 196480 204155 233320 275072 326648 343840 373312 392960 408310 466640 550144 653296 687680 746624 816620 933280 1306592 1375360 1493248 1633240 1866560 2613184 2750720 3266480 3733120 5226368 6532960 7466240 10452736 13065920 26131840 52263680