Search a number
-
+
1649391952 = 2413173141367
BaseRepresentation
bin110001001001111…
…1011100101010000
311020221121210101211
41202103323211100
511334221020302
6431400105504
755605412615
oct14223734520
94227553354
101649391952
1177704764a
123a0465294
1320393a490
141190b050c
1599c08ad7
hex624fb950

1649391952 has 160 divisors (see below), whose sum is σ = 3863752704. Its totient is φ = 674611200.

The previous prime is 1649391949. The next prime is 1649391967. The reversal of 1649391952 is 2591939461.

It is a super-2 number, since 2×16493919522 = 5440987622644740608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1649391896 and 1649391905.

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, 4494073 + ... + 4494439.

Almost surely, 21649391952 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 1649391952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931876352).

1649391952 is an abundant number, since it is smaller than the sum of its proper divisors (2214360752).

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

1649391952 is a wasteful number, since it uses less digits than its factorization.

1649391952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 471 counting only the distinct ones).

The product of its digits is 524880, while the sum is 49.

The square root of 1649391952 is about 40612.7067800214. The cubic root of 1649391952 is about 1181.5205791999.

The spelling of 1649391952 in words is "one billion, six hundred forty-nine million, three hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 31 34 41 52 62 68 82 104 124 136 164 208 221 248 272 328 367 403 442 496 527 533 656 697 734 806 884 1054 1066 1271 1394 1468 1612 1768 2108 2132 2542 2788 2936 3224 3536 4216 4264 4771 5084 5576 5872 6239 6448 6851 8432 8528 9061 9542 10168 11152 11377 12478 13702 15047 16523 18122 19084 20336 21607 22754 24956 27404 30094 33046 36244 38168 43214 45508 49912 54808 60188 66092 72488 76336 81107 86428 91016 99824 109616 120376 132184 144976 147901 162214 172856 182032 193409 195611 240752 255799 264368 280891 295802 324428 345712 386818 391222 466457 511598 561782 591604 648856 773636 782444 932914 1023196 1123564 1183208 1297712 1547272 1564888 1865828 2046392 2247128 2366416 2514317 3094544 3129776 3325387 3731656 4092784 4494256 5028634 6063941 6650774 7463312 7929769 10057268 12127882 13301548 15859538 20114536 24255764 26603096 31719076 40229072 48511528 53206192 63438152 97023056 103086997 126876304 206173994 412347988 824695976 1649391952