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48892088760 = 23354376112451
BaseRepresentation
bin101101100010001100…
…100001000110111000
311200012101002110010020
4231202030201012320
51300112333320020
634243303050440
73350406616554
oct554214410670
9150171073106
1048892088760
111980a344a29
129585a40a20
1347c237c148
14251b532864
151412499c40
hexb623211b8

48892088760 has 128 divisors (see below), whose sum is σ = 150296636160. Its totient is φ = 12716928000.

The previous prime is 48892088753. The next prime is 48892088761. The reversal of 48892088760 is 6788029884.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 48892088694 and 48892088703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48892088761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3920535 + ... + 3932985.

It is an arithmetic number, because the mean of its divisors is an integer number (1174192470).

Almost surely, 248892088760 is an apocalyptic number.

48892088760 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 48892088760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75148318080).

48892088760 is an abundant number, since it is smaller than the sum of its proper divisors (101404547400).

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

48892088760 is a wasteful number, since it uses less digits than its factorization.

48892088760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269 (or 13265 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 60.

The spelling of 48892088760 in words is "forty-eight billion, eight hundred ninety-two million, eighty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 761 860 1032 1290 1522 1720 2283 2580 3044 3805 4566 5160 6088 7610 9132 11415 12451 15220 18264 22830 24902 30440 32723 37353 45660 49804 62255 65446 74706 91320 98169 99608 124510 130892 149412 163615 186765 196338 249020 261784 298824 327230 373530 392676 490845 498040 535393 654460 747060 785352 981690 1070786 1308920 1494120 1606179 1963380 2141572 2676965 3212358 3926760 4283144 5353930 6424716 8030895 9475211 10707860 12849432 16061790 18950422 21415720 28425633 32123580 37900844 47376055 56851266 64247160 75801688 94752110 113702532 142128165 189504220 227405064 284256330 379008440 407434073 568512660 814868146 1137025320 1222302219 1629736292 2037170365 2444604438 3259472584 4074340730 4889208876 6111511095 8148681460 9778417752 12223022190 16297362920 24446044380 48892088760