Search a number
-
+
2087427348 = 22361722477
BaseRepresentation
bin111110001101011…
…1001110100010100
312101110212022000000
41330122321310110
513233340133343
6543044451300
7102504561006
oct17432716424
95343768000
102087427348
11981331076
124a30a9b30
13273608316
1415b336376
15c33d1ed3
hex7c6b9d14

2087427348 has 126 divisors (see below), whose sum is σ = 5820467646. Its totient is φ = 654614784.

The previous prime is 2087427347. The next prime is 2087427373. The reversal of 2087427348 is 8437247802.

It can be written as a sum of positive squares in 3 ways, for example, as 844018704 + 1243408644 = 29052^2 + 35262^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087427347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 841486 + ... + 843962.

Almost surely, 22087427348 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 2087427348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910233823).

2087427348 is an abundant number, since it is smaller than the sum of its proper divisors (3733040298).

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

2087427348 is a wasteful number, since it uses less digits than its factorization.

2087427348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 2087427348 is about 45688.3721312108. The cubic root of 2087427348 is about 1278.0184484542.

The spelling of 2087427348 in words is "two billion, eighty-seven million, four hundred twenty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 289 306 324 459 486 578 612 729 867 918 972 1156 1377 1458 1734 1836 2477 2601 2754 2916 3468 4131 4954 5202 5508 7431 7803 8262 9908 10404 12393 14862 15606 16524 22293 23409 24786 29724 31212 42109 44586 46818 49572 66879 70227 84218 89172 93636 126327 133758 140454 168436 200637 210681 252654 267516 280908 378981 401274 421362 505308 601911 715853 757962 802548 842724 1136943 1203822 1431706 1515924 1805733 2147559 2273886 2407644 2863412 3410829 3611466 4295118 4547772 6442677 6821658 7222932 8590236 10232487 12885354 13643316 19328031 20464974 25770708 30697461 38656062 40929948 57984093 61394922 77312124 115968186 122789844 173952279 231936372 347904558 521856837 695809116 1043713674 2087427348