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80215352 = 2373233141
BaseRepresentation
bin1001100011111…
…11110100111000
312120221100202222
410301333310320
5131013342402
611543143212
71662551000
oct461776470
9176840688
1080215352
1141308a88
1222a44b08
1313807409
14a921000
1570977a2
hex4c7fd38

80215352 has 128 divisors (see below), whose sum is σ = 193536000. Its totient is φ = 31046400.

The previous prime is 80215351. The next prime is 80215357. The reversal of 80215352 is 25351208.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80215351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1956452 + ... + 1956492.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 280215352 is an apocalyptic number.

80215352 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80215352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96768000).

80215352 is an abundant number, since it is smaller than the sum of its proper divisors (113320648).

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

80215352 is a wasteful number, since it uses less digits than its factorization.

80215352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 80215352 is about 8956.3023620242. The cubic root of 80215352 is about 431.2732264463.

The spelling of 80215352 in words is "eighty million, two hundred fifteen thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 31 41 46 49 56 62 82 92 98 124 161 164 184 196 217 248 287 322 328 343 392 434 574 644 686 713 868 943 1127 1148 1271 1288 1372 1426 1519 1736 1886 2009 2254 2296 2542 2744 2852 3038 3772 4018 4508 4991 5084 5704 6076 6601 7544 7889 8036 8897 9016 9982 10168 10633 12152 13202 14063 15778 16072 17794 19964 21266 26404 28126 29233 31556 34937 35588 39928 42532 46207 52808 56252 58466 62279 63112 69874 71176 85064 92414 112504 116932 124558 139748 184828 204631 233864 244559 249116 279496 323449 369656 409262 435953 489118 498232 646898 818524 871906 978236 1293796 1432417 1637048 1743812 1956472 2587592 2864834 3487624 5729668 10026919 11459336 20053838 40107676 80215352