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47962980 = 2232513103199
BaseRepresentation
bin1011011011110…
…1101101100100
310100020202211200
42312331231210
544234303410
64432002500
71121451522
oct266755544
9110222750
1047962980
112508a32a
1214090430
139c24180
146527312
1543263c0
hex2dbdb64

47962980 has 144 divisors (see below), whose sum is σ = 158995200. Its totient is φ = 11632896.

The previous prime is 47962949. The next prime is 47962991. The reversal of 47962980 is 8926974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 240921 + ... + 241119.

Almost surely, 247962980 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 47962980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79497600).

47962980 is an abundant number, since it is smaller than the sum of its proper divisors (111032220).

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

47962980 is a wasteful number, since it uses less digits than its factorization.

47962980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 47962980 is about 6925.5310265712. The cubic root of 47962980 is about 363.3306642529.

It can be divided in two parts, 4796 and 2980, that added together give a 5-th power (7776 = 65).

The spelling of 47962980 in words is "forty-seven million, nine hundred sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 103 117 130 156 180 195 199 206 234 260 309 390 398 412 468 515 585 597 618 780 796 927 995 1030 1170 1194 1236 1339 1545 1791 1854 1990 2060 2340 2388 2587 2678 2985 3090 3582 3708 3980 4017 4635 5174 5356 5970 6180 6695 7164 7761 8034 8955 9270 10348 11940 12051 12935 13390 15522 16068 17910 18540 20085 20497 23283 24102 25870 26780 31044 35820 38805 40170 40994 46566 48204 51740 60255 61491 77610 80340 81988 93132 102485 116415 120510 122982 155220 184473 204970 232830 241020 245964 266461 307455 368946 409940 465660 532922 614910 737892 799383 922365 1065844 1229820 1332305 1598766 1844730 2398149 2664610 3197532 3689460 3996915 4796298 5329220 7993830 9592596 11990745 15987660 23981490 47962980