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48772260 = 22335181499
BaseRepresentation
bin1011101000001…
…1010010100100
310101202212222000
42322003102210
544441203020
64501205300
71131362115
oct272032244
9111685860
1048772260
1125592359
1214400830
13a148634
14669820c
154436090
hex2e834a4

48772260 has 96 divisors (see below), whose sum is σ = 152880000. Its totient is φ = 12908160.

The previous prime is 48772231. The next prime is 48772261. The reversal of 48772260 is 6227784.

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

It is not an unprimeable number, because it can be changed into a prime (48772261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97491 + ... + 97989.

It is an arithmetic number, because the mean of its divisors is an integer number (1592500).

Almost surely, 248772260 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 48772260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440000).

48772260 is an abundant number, since it is smaller than the sum of its proper divisors (104107740).

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

48772260 is a wasteful number, since it uses less digits than its factorization.

48772260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 48772260 is about 6983.7139116662. The cubic root of 48772260 is about 365.3627718684.

The spelling of 48772260 in words is "forty-eight million, seven hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 181 270 362 499 540 543 724 905 998 1086 1497 1629 1810 1996 2172 2495 2715 2994 3258 3620 4491 4887 4990 5430 5988 6516 7485 8145 8982 9774 9980 10860 13473 14970 16290 17964 19548 22455 24435 26946 29940 32580 44910 48870 53892 67365 89820 90319 97740 134730 180638 269460 270957 361276 451595 541914 812871 903190 1083828 1354785 1625742 1806380 2438613 2709570 3251484 4064355 4877226 5419140 8128710 9754452 12193065 16257420 24386130 48772260