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48273680 = 24571319349
BaseRepresentation
bin1011100000100…
…1100100010000
310100211120001002
42320021210100
544324224210
64442401132
71124214410
oct270114420
9110746032
1048273680
1125281804
12142001a8
13a002710
1465a8640
1543884a5
hex2e09910

48273680 has 160 divisors (see below), whose sum is σ = 145824000. Its totient is φ = 14432256.

The previous prime is 48273679. The next prime is 48273707. The reversal of 48273680 is 8637284.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138146 + ... + 138494.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 248273680 is an apocalyptic number.

48273680 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 48273680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912000).

48273680 is an abundant number, since it is smaller than the sum of its proper divisors (97550320).

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

48273680 is a wasteful number, since it uses less digits than its factorization.

48273680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 48273680 is about 6947.9263093386. The cubic root of 48273680 is about 364.1135177080.

The spelling of 48273680 in words is "forty-eight million, two hundred seventy-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 182 190 208 247 260 266 280 304 349 364 380 455 494 520 532 560 665 698 728 760 910 988 1040 1064 1235 1330 1396 1456 1520 1729 1745 1820 1976 2128 2443 2470 2660 2792 3458 3490 3640 3952 4537 4886 4940 5320 5584 6631 6916 6980 7280 8645 9074 9772 9880 10640 12215 13262 13832 13960 17290 18148 19544 19760 22685 24430 26524 27664 27920 31759 33155 34580 36296 39088 45370 46417 48860 53048 63518 66310 69160 72592 86203 90740 92834 97720 106096 127036 132620 138320 158795 172406 181480 185668 195440 232085 254072 265240 317590 344812 362960 371336 431015 464170 508144 530480 603421 635180 689624 742672 862030 928340 1206842 1270360 1379248 1724060 1856680 2413684 2540720 3017105 3448120 3713360 4827368 6034210 6896240 9654736 12068420 24136840 48273680