Search a number
-
+
49442129208 = 233212734915493
BaseRepresentation
bin101110000010111110…
…110000010100111000
311201121201002101202200
4232002332300110320
51302224141113313
634414032230200
73400136110203
oct560276602470
9151551071680
1049442129208
1119a7187a50a
1296ba09b360
13487c304b74
1425705d293a
1514458e9b73
hexb82fb0538

49442129208 has 96 divisors (see below), whose sum is σ = 135355584000. Its totient is φ = 16303037184.

The previous prime is 49442129179. The next prime is 49442129221. The reversal of 49442129208 is 80292124494.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3183510 + ... + 3199002.

It is an arithmetic number, because the mean of its divisors is an integer number (1409954000).

Almost surely, 249442129208 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 49442129208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67677792000).

49442129208 is an abundant number, since it is smaller than the sum of its proper divisors (85913454792).

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

49442129208 is a wasteful number, since it uses less digits than its factorization.

49442129208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15981 (or 15974 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 49442129208 in words is "forty-nine billion, four hundred forty-two million, one hundred twenty-nine thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 127 254 349 381 508 698 762 1016 1047 1143 1396 1524 2094 2286 2792 3048 3141 4188 4572 6282 8376 9144 12564 15493 25128 30986 44323 46479 61972 88646 92958 123944 132969 139437 177292 185916 265938 278874 354584 371832 398907 531876 557748 797814 1063752 1115496 1595628 1967611 3191256 3935222 5407057 5902833 7870444 10814114 11805666 15740888 16221171 17708499 21628228 23611332 32442342 35416998 43256456 47222664 48663513 64884684 70833996 97327026 129769368 141667992 194654052 389308104 686696239 1373392478 2060088717 2746784956 4120177434 5493569912 6180266151 8240354868 12360532302 16480709736 24721064604 49442129208