Search a number
-
+
48484260 = 223251147521
BaseRepresentation
bin1011100011110…
…0111110100100
310101020020220100
42320330332210
544402444020
64451104100
71126052346
oct270747644
9111206810
1048484260
1125405a40
12142a2030
13a077516
146621296
1543caa90
hex2e3cfa4

48484260 has 144 divisors (see below), whose sum is σ = 164166912. Its totient is φ = 11481600.

The previous prime is 48484243. The next prime is 48484277. The reversal of 48484260 is 6248484.

It is an interprime number because it is at equal distance from previous prime (48484243) and next prime (48484277).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92800 + ... + 93320.

It is an arithmetic number, because the mean of its divisors is an integer number (1140048).

Almost surely, 248484260 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 48484260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82083456).

48484260 is an abundant number, since it is smaller than the sum of its proper divisors (115682652).

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

48484260 is a wasteful number, since it uses less digits than its factorization.

48484260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 48484260 is about 6963.0639807487. The cubic root of 48484260 is about 364.6421964351.

The spelling of 48484260 in words is "forty-eight million, four hundred eighty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 521 564 660 705 846 940 990 1034 1042 1410 1551 1563 1692 1980 2068 2084 2115 2585 2605 2820 3102 3126 4230 4653 4689 5170 5210 5731 6204 6252 7755 7815 8460 9306 9378 10340 10420 11462 15510 15630 17193 18612 18756 22924 23265 23445 24487 28655 31020 31260 34386 46530 46890 48974 51579 57310 68772 73461 85965 93060 93780 97948 103158 114620 122435 146922 171930 206316 220383 244870 257895 269357 293844 343860 367305 440766 489740 515790 538714 734610 808071 881532 1031580 1077428 1101915 1346785 1469220 1616142 2203830 2424213 2693570 3232284 4040355 4407660 4848426 5387140 8080710 9696852 12121065 16161420 24242130 48484260