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52206480 = 24325312339
BaseRepresentation
bin1100011100100…
…1101110010000
310122020100211100
43013021232100
5101331101410
65102544400
71202514324
oct307115620
9118210740
1052206480
1127518557
1215598100
13aa7b811
146d0d984
1548b38c0
hex31c9b90

52206480 has 120 divisors (see below), whose sum is σ = 181059840. Its totient is φ = 13466880.

The previous prime is 52206463. The next prime is 52206487. The reversal of 52206480 is 8460225.

52206480 is a `hidden beast` number, since 522 + 0 + 64 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (52206487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21151 + ... + 23489.

It is an arithmetic number, because the mean of its divisors is an integer number (1508832).

Almost surely, 252206480 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 52206480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

52206480 is an abundant number, since it is smaller than the sum of its proper divisors (128853360).

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

52206480 is a wasteful number, since it uses less digits than its factorization.

52206480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52206480 is about 7225.4051789502. The cubic root of 52206480 is about 373.7444945741.

The spelling of 52206480 in words is "fifty-two million, two hundred six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2339 2480 2790 3720 4464 4678 5580 7017 7440 9356 11160 11695 14034 18712 21051 22320 23390 28068 35085 37424 42102 46780 56136 70170 72509 84204 93560 105255 112272 140340 145018 168408 187120 210510 217527 280680 290036 336816 362545 421020 435054 561360 580072 652581 725090 842040 870108 1087635 1160144 1305162 1450180 1684080 1740216 2175270 2610324 2900360 3262905 3480432 4350540 5220648 5800720 6525810 8701080 10441296 13051620 17402160 26103240 52206480