Search a number
-
+
80442684 = 223272313879
BaseRepresentation
bin1001100101101…
…11010100111100
312121100220121200
410302313110330
5131043131214
611552055500
71664515530
oct462672474
9177326550
1080442684
1141453863
1222b34590
1313886a2a
14a97dbc0
1570ded09
hex4cb753c

80442684 has 72 divisors (see below), whose sum is σ = 242511360. Its totient is φ = 21982752.

The previous prime is 80442653. The next prime is 80442721. The reversal of 80442684 is 48624408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1144 + ... + 12735.

Almost surely, 280442684 is an apocalyptic number.

80442684 is a gapful number since it is divisible by the number (84) 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 80442684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121255680).

80442684 is an abundant number, since it is smaller than the sum of its proper divisors (162068676).

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

80442684 is a wasteful number, since it uses less digits than its factorization.

80442684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13919 (or 13914 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 80442684 is about 8968.9845579084. The cubic root of 80442684 is about 431.6802546536.

The spelling of 80442684 in words is "eighty million, four hundred forty-two thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 13879 27758 41637 55516 83274 97153 124911 166548 194306 249822 291459 319217 388612 499644 582918 638434 874377 957651 1165836 1276868 1748754 1915302 2234519 2872953 3497508 3830604 4469038 5745906 6703557 8938076 11491812 13407114 20110671 26814228 40221342 80442684