Search a number
-
+
82173480 = 233519231567
BaseRepresentation
bin1001110010111…
…01111000101000
312201121211211020
410321131320220
5132014022410
612053132440
72015314554
oct471357050
9181554736
1082173480
1142426174
122362a120
131404177c
14acb0864
157332a70
hex4e5de28

82173480 has 128 divisors (see below), whose sum is σ = 270950400. Its totient is φ = 19844352.

The previous prime is 82173439. The next prime is 82173517. The reversal of 82173480 is 8437128.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51657 + ... + 53223.

It is an arithmetic number, because the mean of its divisors is an integer number (2116800).

Almost surely, 282173480 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 82173480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135475200).

82173480 is an abundant number, since it is smaller than the sum of its proper divisors (188776920).

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

82173480 is a wasteful number, since it uses less digits than its factorization.

82173480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82173480 is about 9064.9589077943. The cubic root of 82173480 is about 434.7543070215.

The spelling of 82173480 in words is "eighty-two million, one hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1567 1748 2185 2280 2622 2760 3134 3496 4370 4701 5244 6268 6555 7835 8740 9402 10488 12536 13110 15670 17480 18804 23505 26220 29773 31340 36041 37608 47010 52440 59546 62680 72082 89319 94020 108123 119092 144164 148865 178638 180205 188040 216246 238184 288328 297730 357276 360410 432492 446595 540615 595460 684779 714552 720820 864984 893190 1081230 1190920 1369558 1441640 1786380 2054337 2162460 2739116 3423895 3572760 4108674 4324920 5478232 6847790 8217348 10271685 13695580 16434696 20543370 27391160 41086740 82173480