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5322556404 = 22321125153549
BaseRepresentation
bin1001111010011111…
…11100001111110100
3111201221022212202200
410331033330033310
541400033301104
62240052504500
7245616661104
oct47517741764
914657285680
105322556404
112291498450
12104661b130
1366a926579
14386c67204
1521241db39
hex13d3fc3f4

5322556404 has 72 divisors (see below), whose sum is σ = 14736103200. Its totient is φ = 1606440000.

The previous prime is 5322556387. The next prime is 5322556417. The reversal of 5322556404 is 4046552235.

5322556404 is a `hidden beast` number, since 5 + 3 + 2 + 2 + 5 + 5 + 640 + 4 = 666.

It is a super-2 number, since 2×53225564042 = 56659213347522822432, which contains 22 as substring.

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, 72622 + ... + 126170.

It is an arithmetic number, because the mean of its divisors is an integer number (204668100).

Almost surely, 25322556404 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 5322556404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368051600).

5322556404 is an abundant number, since it is smaller than the sum of its proper divisors (9413546796).

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

5322556404 is a wasteful number, since it uses less digits than its factorization.

5322556404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53821 (or 53816 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 5322556404 is about 72955.8524314534. The cubic root of 5322556404 is about 1745.9833215618.

The spelling of 5322556404 in words is "five billion, three hundred twenty-two million, five hundred fifty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 251 396 502 753 1004 1506 2259 2761 3012 4518 5522 8283 9036 11044 16566 24849 33132 49698 53549 99396 107098 160647 214196 321294 481941 589039 642588 963882 1178078 1767117 1927764 2356156 3534234 5301351 7068468 10602702 13440799 21205404 26881598 40322397 53763196 80644794 120967191 147848789 161289588 241934382 295697578 443546367 483868764 591395156 887092734 1330639101 1774185468 2661278202 5322556404