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48392446720 = 2851912231627
BaseRepresentation
bin101101000100011010…
…100010001100000000
311121220112221000002111
4231010122202030000
51243101431243340
634121534025104
73332132003332
oct550432421400
9147815830074
1048392446720
1119583302522
129466648194
1347429c0c77
1424b1031452
1513d36a2aea
hexb446a2300

48392446720 has 144 divisors (see below), whose sum is σ = 122190647040. Its totient is φ = 18311933952.

The previous prime is 48392446693. The next prime is 48392446727. The reversal of 48392446720 is 2764429384.

It is not an unprimeable number, because it can be changed into a prime (48392446727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29742547 + ... + 29744173.

It is an arithmetic number, because the mean of its divisors is an integer number (848546160).

Almost surely, 248392446720 is an apocalyptic number.

48392446720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48392446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61095323520).

48392446720 is an abundant number, since it is smaller than the sum of its proper divisors (73798200320).

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

48392446720 is a wasteful number, since it uses less digits than its factorization.

48392446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 49.

The spelling of 48392446720 in words is "forty-eight billion, three hundred ninety-two million, four hundred forty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1223 1280 1520 1627 2432 2446 3040 3254 4864 4892 6080 6115 6508 8135 9784 12160 12230 13016 16270 19568 23237 24320 24460 26032 30913 32540 39136 46474 48920 52064 61826 65080 78272 92948 97840 104128 116185 123652 130160 154565 156544 185896 195680 208256 232370 247304 260320 309130 313088 371792 391360 416512 464740 494608 520640 618260 743584 782720 929480 989216 1041280 1236520 1487168 1565440 1858960 1978432 1989821 2082560 2473040 2974336 3717920 3956864 3979642 4946080 5948672 7435840 7913728 7959284 9892160 9949105 14871680 15918568 19784320 19898210 29743360 31837136 37806599 39568640 39796420 63674272 75613198 79592840 127348544 151226396 159185680 189032995 254697088 302452792 318371360 378065990 509394176 604905584 636742720 756131980 1209811168 1273485440 1512263960 2419622336 2546970880 3024527920 4839244672 6049055840 9678489344 12098111680 24196223360 48392446720