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48331980 = 223252947197
BaseRepresentation
bin1011100001011…
…1110011001100
310100221112000100
42320113303030
544333110410
64443531100
71124546364
oct270276314
9110845010
1048331980
1125311594
1214229a90
13a023108
1465c19a4
15439a8c0
hex2e17ccc

48331980 has 144 divisors (see below), whose sum is σ = 155675520. Its totient is φ = 12117504.

The previous prime is 48331973. The next prime is 48331981. The reversal of 48331980 is 8913384.

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 (48331981) 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, 245242 + ... + 245438.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 248331980 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 48331980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77837760).

48331980 is an abundant number, since it is smaller than the sum of its proper divisors (107343540).

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

48331980 is a wasteful number, since it uses less digits than its factorization.

48331980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 283 counting only the distinct ones).

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

The square root of 48331980 is about 6952.1205398065. The cubic root of 48331980 is about 364.2600383946.

The spelling of 48331980 in words is "forty-eight million, three hundred thirty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 47 58 60 87 90 94 116 141 145 174 180 188 197 235 261 282 290 348 394 423 435 470 522 564 580 591 705 788 846 870 940 985 1044 1182 1305 1363 1410 1692 1740 1773 1970 2115 2364 2610 2726 2820 2955 3546 3940 4089 4230 5220 5452 5713 5910 6815 7092 8178 8460 8865 9259 11426 11820 12267 13630 16356 17139 17730 18518 20445 22852 24534 27260 27777 28565 34278 35460 37036 40890 46295 49068 51417 55554 57130 61335 68556 81780 83331 85695 92590 102834 111108 114260 122670 138885 166662 171390 185180 205668 245340 257085 268511 277770 333324 342780 416655 514170 537022 555540 805533 833310 1028340 1074044 1342555 1611066 1666620 2416599 2685110 3222132 4027665 4833198 5370220 8055330 9666396 12082995 16110660 24165990 48331980