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80468076 = 223132341547
BaseRepresentation
bin1001100101111…
…01100001101100
312121102012110010
410302331201230
5131044434301
611552413220
71664652543
oct462754154
9177365403
1080468076
1141470947
1222b47210
1313895460
14a98915a
1570e75d6
hex4cbd86c

80468076 has 96 divisors (see below), whose sum is σ = 216534528. Its totient is φ = 23063040.

The previous prime is 80468071. The next prime is 80468137. The reversal of 80468076 is 67086408.

It is a super-2 number, since 2×804680762 = 12950222510283552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (80468071) 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, 146835 + ... + 147381.

It is an arithmetic number, because the mean of its divisors is an integer number (2255568).

Almost surely, 280468076 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 80468076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108267264).

80468076 is an abundant number, since it is smaller than the sum of its proper divisors (136066452).

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

80468076 is a wasteful number, since it uses less digits than its factorization.

80468076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

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

The square root of 80468076 is about 8970.3999910818. The cubic root of 80468076 is about 431.7256703101.

The spelling of 80468076 in words is "eighty million, four hundred sixty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 23 26 39 41 46 52 69 78 82 92 123 138 156 164 246 276 299 492 533 547 598 897 943 1066 1094 1196 1599 1641 1794 1886 2132 2188 2829 3198 3282 3588 3772 5658 6396 6564 7111 11316 12259 12581 14222 21333 22427 24518 25162 28444 36777 37743 42666 44854 49036 50324 67281 73554 75486 85332 89708 134562 147108 150972 163553 269124 291551 327106 490659 515821 583102 654212 874653 981318 1031642 1166204 1547463 1749306 1962636 2063284 3094926 3498612 6189852 6705673 13411346 20117019 26822692 40234038 80468076