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48427472484 = 22331731783207
BaseRepresentation
bin101101000110100000…
…001001011001100100
311121222222211111102000
4231012200021121210
51243134413104414
634125224445300
73333035503266
oct550640113144
9147888744360
1048427472484
11195a1055936
129476319830
13474a035681
1424b594bb36
1513d67c0b09
hexb46809664

48427472484 has 96 divisors (see below), whose sum is σ = 133359125760. Its totient is φ = 15144823296.

The previous prime is 48427472477. The next prime is 48427472531.

48427472484 is a `hidden beast` number, since 484 + 27 + 47 + 24 + 84 = 666.

48427472484 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48427472484.

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, 540409 + ... + 623615.

It is an arithmetic number, because the mean of its divisors is an integer number (1389157560).

Almost surely, 248427472484 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 48427472484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66679562880).

48427472484 is an abundant number, since it is smaller than the sum of its proper divisors (84931653276).

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

48427472484 is a wasteful number, since it uses less digits than its factorization.

48427472484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83554 (or 83546 counting only the distinct ones).

The product of its digits is 12845056, while the sum is 54.

The spelling of 48427472484 in words is "forty-eight billion, four hundred twenty-seven million, four hundred seventy-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 317 459 612 634 918 951 1268 1836 1902 2853 3804 5389 5706 8559 10778 11412 16167 17118 21556 32334 34236 48501 64668 83207 97002 145503 166414 194004 249621 291006 332828 499242 582012 748863 998484 1414519 1497726 2246589 2829038 2995452 4243557 4493178 5658076 8487114 8986356 12730671 16974228 25461342 26376619 38192013 50922684 52753238 76384026 79129857 105506476 152768052 158259714 237389571 316519428 448402523 474779142 712168713 896805046 949558284 1345207569 1424337426 1793610092 2690415138 2848674852 4035622707 5380830276 8071245414 12106868121 16142490828 24213736242 48427472484