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48420240792 = 233711130720047
BaseRepresentation
bin101101000110000100…
…100011110110011000
311121222111020002101120
4231012010203312120
51243131040201132
634124405445240
73332620153530
oct550604436630
9147874202346
1048420240792
1119597a66630
129473a10820
1347486a2b71
1424b49c84c0
1513d5d4302c
hexb46123d98

48420240792 has 128 divisors (see below), whose sum is σ = 151043235840. Its totient is φ = 12566436480.

The previous prime is 48420240767. The next prime is 48420240793. The reversal of 48420240792 is 29704202484.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48420240793) 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, 2405313 + ... + 2425359.

It is an arithmetic number, because the mean of its divisors is an integer number (1180025280).

Almost surely, 248420240792 is an apocalyptic number.

48420240792 is a gapful number since it is divisible by the number (42) 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 48420240792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75521617920).

48420240792 is an abundant number, since it is smaller than the sum of its proper divisors (102622995048).

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

48420240792 is a wasteful number, since it uses less digits than its factorization.

48420240792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21381 (or 21377 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 48420240792 in words is "forty-eight billion, four hundred twenty million, two hundred forty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1307 1848 2614 3921 5228 7842 9149 10456 14377 15684 18298 20047 27447 28754 31368 36596 40094 43131 54894 57508 60141 73192 80188 86262 100639 109788 115016 120282 140329 160376 172524 201278 219576 220517 240564 280658 301917 345048 402556 420987 441034 481128 561316 603834 661551 805112 841974 882068 1122632 1207668 1323102 1543619 1683948 1764136 2415336 2646204 3087238 3367896 4630857 5292408 6174476 9261714 12348952 18523428 26201429 37046856 52402858 78604287 104805716 157208574 183410003 209611432 288215719 314417148 366820006 550230009 576431438 628834296 733640012 864647157 1100460018 1152862876 1467280024 1729294314 2017510033 2200920036 2305725752 3458588628 4035020066 4401840072 6052530099 6917177256 8070040132 12105060198 16140080264 24210120396 48420240792