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48313980 = 2232511131877
BaseRepresentation
bin1011100001001…
…1011001111100
310100220121022200
42320103121330
544332021410
64443311500
71124443041
oct270233174
9110817280
1048313980
11252aa010
121421b590
13a017b70
1465b91c8
1543953c0
hex2e1367c

48313980 has 144 divisors (see below), whose sum is σ = 172265184. Its totient is φ = 10805760.

The previous prime is 48313973. The next prime is 48313981. The reversal of 48313980 is 8931384.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48313981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24802 + ... + 26678.

It is an arithmetic number, because the mean of its divisors is an integer number (1196286).

Almost surely, 248313980 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 48313980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86132592).

48313980 is an abundant number, since it is smaller than the sum of its proper divisors (123951204).

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

48313980 is a wasteful number, since it uses less digits than its factorization.

48313980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 48313980 is about 6950.8258502138. The cubic root of 48313980 is about 364.2148130262.

It can be divided in two parts, 48 and 313980, that added together give a triangular number (314028 = T792).

The spelling of 48313980 in words is "forty-eight million, three hundred thirteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1877 1980 2145 2340 2574 2860 3754 4290 5148 5631 6435 7508 8580 9385 11262 12870 16893 18770 20647 22524 24401 25740 28155 33786 37540 41294 48802 56310 61941 67572 73203 82588 84465 97604 103235 112620 122005 123882 146406 168930 185823 206470 219609 244010 247764 268411 292812 309705 337860 366015 371646 412940 439218 488020 536822 619410 732030 743292 805233 878436 929115 1073644 1098045 1238820 1342055 1464060 1610466 1858230 2196090 2415699 2684110 3220932 3716460 4026165 4392180 4831398 5368220 8052330 9662796 12078495 16104660 24156990 48313980