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2097456804 = 22321724492
BaseRepresentation
bin111110100000100…
…1010011010100100
312102011201211211100
41331001022122210
513243422104204
6544043440100
7102656042262
oct17501123244
95364654740
102097456804
11986a61383
124a6526030
1327570a401
1415c7c7432
15c4213a39
hex7d04a6a4

2097456804 has 81 divisors (see below), whose sum is σ = 5644698787. Its totient is φ = 656560128.

The previous prime is 2097456791. The next prime is 2097456839. The reversal of 2097456804 is 4086547902.

It is a happy number.

The square root of 2097456804 is 45798.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 329422500 + 1768034304 = 18150^2 + 42048^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2097456804.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4671172 + ... + 4671620.

Almost surely, 22097456804 is an apocalyptic number.

2097456804 is the 45798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097456804

2097456804 is an abundant number, since it is smaller than the sum of its proper divisors (3547241983).

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

2097456804 is a wasteful number, since it uses less digits than its factorization.

2097456804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 2097456804 is about 1280.0620095285.

The spelling of 2097456804 in words is "two billion, ninety-seven million, four hundred fifty-six thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 449 578 612 867 898 1156 1347 1734 1796 2601 2694 3468 4041 5202 5388 7633 8082 10404 15266 16164 22899 30532 45798 68697 91596 129761 137394 201601 259522 274788 389283 403202 519044 604803 778566 806404 1167849 1209606 1557132 1814409 2335698 2419212 3427217 3628818 4671396 6854434 7257636 10281651 13708868 20563302 30844953 41126604 58262689 61689906 116525378 123379812 174788067 233050756 349576134 524364201 699152268 1048728402 2097456804