Search a number
-
+
80384976 = 24327174691
BaseRepresentation
bin1001100101010…
…01001111010000
312121020222110100
410302221033100
5131034304401
611550532400
71664155350
oct462511720
9177228410
1080384976
1141414471
1222b07100
1313866699
14a966b60
1570ccb86
hex4ca93d0

80384976 has 120 divisors (see below), whose sum is σ = 272286144. Its totient is φ = 21611520.

The previous prime is 80384971. The next prime is 80384981. The reversal of 80384976 is 67948308.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80384971) and next prime (80384981).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80384971) 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, 14791 + ... + 19481.

Almost surely, 280384976 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 80384976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136143072).

80384976 is an abundant number, since it is smaller than the sum of its proper divisors (191901168).

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

80384976 is a wasteful number, since it uses less digits than its factorization.

80384976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 80384976 is about 8965.7668941368. The cubic root of 80384976 is about 431.5770036503.

The spelling of 80384976 in words is "eighty million, three hundred eighty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 4691 5712 8568 9382 14073 17136 18764 28146 32837 37528 42219 56292 65674 75056 79747 84438 98511 112584 131348 159494 168876 197022 225168 239241 262696 295533 318988 337752 394044 478482 525392 558229 591066 637976 675504 717723 788088 956964 1116458 1182132 1275952 1435446 1576176 1674687 1913928 2232916 2364264 2870892 3349374 3827856 4465832 4728528 5024061 5741784 6698748 8931664 10048122 11483568 13397496 20096244 26794992 40192488 80384976