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80042904 = 23341011223
BaseRepresentation
bin1001100010101…
…01101110011000
312120121121020000
410301111232120
5130442333104
611535333000
71661232144
oct461255630
9176547200
1080042904
1141200467
1222981160
1313776a86
14a8b8224
157061639
hex4c55b98

80042904 has 80 divisors (see below), whose sum is σ = 226599120. Its totient is φ = 26395200.

The previous prime is 80042891. The next prime is 80042917. The reversal of 80042904 is 40924008.

It is an interprime number because it is at equal distance from previous prime (80042891) and next prime (80042917).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64837 + ... + 66059.

It is an arithmetic number, because the mean of its divisors is an integer number (2832489).

Almost surely, 280042904 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 80042904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113299560).

80042904 is an abundant number, since it is smaller than the sum of its proper divisors (146556216).

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

80042904 is a wasteful number, since it uses less digits than its factorization.

80042904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 80042904 is about 8946.6699950317. The cubic root of 80042904 is about 430.9639524620.

The spelling of 80042904 in words is "eighty million, forty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 101 108 162 202 216 303 324 404 606 648 808 909 1212 1223 1818 2424 2446 2727 3636 3669 4892 5454 7272 7338 8181 9784 10908 11007 14676 16362 21816 22014 29352 32724 33021 44028 65448 66042 88056 99063 123523 132084 198126 247046 264168 370569 396252 494092 741138 792504 988184 1111707 1482276 2223414 2964552 3335121 4446828 6670242 8893656 10005363 13340484 20010726 26680968 40021452 80042904