Search a number
-
+
76486080 = 2635117243
BaseRepresentation
bin1001000111100…
…01010111000000
312022220220011210
410203301113000
5124040023310
611331210120
71616056326
oct443612700
9168826153
1076486080
113a1a1140
1221746940
1312accb48
14a22dd16
156aac820
hex48f15c0

76486080 has 112 divisors (see below), whose sum is σ = 264956544. Its totient is φ = 18539520.

The previous prime is 76486073. The next prime is 76486097. The reversal of 76486080 is 8068467.

It is a congruent number.

It is an unprimeable number.

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, 6939 + ... + 14181.

Almost surely, 276486080 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 76486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132478272).

76486080 is an abundant number, since it is smaller than the sum of its proper divisors (188470464).

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

76486080 is a wasteful number, since it uses less digits than its factorization.

76486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7274 (or 7264 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 76486080 is about 8745.6320526306. The cubic root of 76486080 is about 424.4834878656.

The spelling of 76486080 in words is "seventy-six million, four hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 132 160 165 176 192 220 240 264 320 330 352 440 480 528 660 704 880 960 1056 1320 1760 2112 2640 3520 5280 7243 10560 14486 21729 28972 36215 43458 57944 72430 79673 86916 108645 115888 144860 159346 173832 217290 231776 239019 289720 318692 347664 398365 434580 463552 478038 579440 637384 695328 796730 869160 956076 1158880 1195095 1274768 1390656 1593460 1738320 1912152 2317760 2390190 2549536 3186920 3476640 3824304 4780380 5099072 6373840 6953280 7648608 9560760 12747680 15297216 19121520 25495360 38243040 76486080