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804004080 = 243511378231
BaseRepresentation
bin101111111011000…
…010000011110000
32002000212122020220
4233323002003300
53121311112310
6211440333040
725631631135
oct5773020360
92060778226
10804004080
11382926190
121a5314180
13ca755579
1478acc58c
154a8b8670
hex2fec20f0

804004080 has 160 divisors (see below), whose sum is σ = 2792821248. Its totient is φ = 189619200.

The previous prime is 804004079. The next prime is 804004109. The reversal of 804004080 is 80400408.

804004080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 804004080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93565 + ... + 101795.

Almost surely, 2804004080 is an apocalyptic number.

804004080 is a gapful number since it is divisible by the number (80) 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 804004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396410624).

804004080 is an abundant number, since it is smaller than the sum of its proper divisors (1988817168).

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

804004080 is a wasteful number, since it uses less digits than its factorization.

804004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8295 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 804004080 is about 28354.9657026772. The cubic root of 804004080 is about 929.8639643780.

Adding to 804004080 its reverse (80400408), we get a palindrome (884404488).

The spelling of 804004080 in words is "eight hundred four million, four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8231 8880 9768 12210 16280 16462 19536 24420 24693 32560 32924 41155 48840 49386 65848 82310 90541 97680 98772 123465 131696 164620 181082 197544 246930 271623 304547 329240 362164 395088 452705 493860 543246 609094 658480 724328 905410 913641 987720 1086492 1218188 1358115 1448656 1522735 1810820 1827282 1975440 2172984 2436376 2716230 3045470 3350017 3621640 3654564 4345968 4568205 4872752 5432460 6090940 6700034 7243280 7309128 9136410 10050051 10864920 12181880 13400068 14618256 16750085 18272820 20100102 21729840 24363760 26800136 33500170 36545640 40200204 50250255 53600272 67000340 73091280 80400408 100500510 134000680 160800816 201001020 268001360 402002040 804004080