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48115944 = 233553467
BaseRepresentation
bin1011011110001…
…1000011101000
310100112112200000
42313203003220
544304202234
64435143000
71122656502
oct267430350
9110475600
1048115944
1125184248
1214144a60
139c78996
146566d72
154356899
hex2de30e8

48115944 has 96 divisors (see below), whose sum is σ = 137985120. Its totient is φ = 15702336.

The previous prime is 48115909. The next prime is 48115957. The reversal of 48115944 is 44951184.

48115944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×481159442 = 4630288134022272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48115899 and 48115908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102799 + ... + 103265.

It is an arithmetic number, because the mean of its divisors is an integer number (1437345).

Almost surely, 248115944 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 48115944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560).

48115944 is an abundant number, since it is smaller than the sum of its proper divisors (89869176).

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

48115944 is a wasteful number, since it uses less digits than its factorization.

48115944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 525 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 48115944 is about 6936.5657208737. The cubic root of 48115944 is about 363.7165002628.

The spelling of 48115944 in words is "forty-eight million, one hundred fifteen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 243 318 324 424 467 477 486 636 648 934 954 972 1272 1401 1431 1868 1908 1944 2802 2862 3736 3816 4203 4293 5604 5724 8406 8586 11208 11448 12609 12879 16812 17172 24751 25218 25758 33624 34344 37827 49502 50436 51516 74253 75654 99004 100872 103032 113481 148506 151308 198008 222759 226962 297012 302616 445518 453924 594024 668277 891036 907848 1336554 1782072 2004831 2673108 4009662 5346216 6014493 8019324 12028986 16038648 24057972 48115944