Search a number
-
+
1610898496 = 262921732
BaseRepresentation
bin110000000000100…
…0101110001000000
311011021012010022021
41200001011301000
511244342222441
6423503051224
754630261034
oct14001056100
94137163267
101610898496
11757345979
1238b5a0b14
131c898059c
14113d301c4
15966533d1
hex60045c40

1610898496 has 63 divisors (see below), whose sum is σ = 3329903551. Its totient is φ = 773179904.

The previous prime is 1610898491. The next prime is 1610898503. The reversal of 1610898496 is 6948980161.

The square root of 1610898496 is 40136.

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 376360000 + 1234538496 = 19400^2 + 35136^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1610898491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9311466 + ... + 9311638.

Almost surely, 21610898496 is an apocalyptic number.

1610898496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1610898496 is the 40136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1610898496

1610898496 is an abundant number, since it is smaller than the sum of its proper divisors (1719005055).

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

1610898496 is an frugal number, since it uses more digits than its factorization.

1610898496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 52.

The cubic root of 1610898496 is about 1172.2567046714.

The spelling of 1610898496 in words is "one billion, six hundred ten million, eight hundred ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 173 232 346 464 692 841 928 1384 1682 1856 2768 3364 5017 5536 6728 10034 11072 13456 20068 26912 29929 40136 53824 59858 80272 119716 145493 160544 239432 290986 321088 478864 581972 867941 957728 1163944 1735882 1915456 2327888 3471764 4655776 6943528 9311552 13887056 25170289 27774112 50340578 55548224 100681156 201362312 402724624 805449248 1610898496