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48068020 = 225751113
BaseRepresentation
bin1011011101011…
…1010110110100
310100110002221001
42313113112310
544301134040
64434133044
71122400000
oct267272664
9110402831
1048068020
1125151240
1214121184
139c5cc20
146553700
15434759a
hex2dd75b4

48068020 has 144 divisors (see below), whose sum is σ = 138354048. Its totient is φ = 13829760.

The previous prime is 48068017. The next prime is 48068057. The reversal of 48068020 is 2086084.

It is a super-3 number, since 3×480680203 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 48068020.

It is a congruent number.

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, 3697534 + ... + 3697546.

It is an arithmetic number, because the mean of its divisors is an integer number (960792).

Almost surely, 248068020 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 48068020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69177024).

48068020 is an abundant number, since it is smaller than the sum of its proper divisors (90286028).

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

48068020 is a wasteful number, since it uses less digits than its factorization.

48068020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 48068020 is about 6933.1104130830. The cubic root of 48068020 is about 363.5957049616.

The spelling of 48068020 in words is "forty-eight million, sixty-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 343 364 385 455 490 539 572 637 686 715 770 910 980 1001 1078 1274 1372 1430 1540 1715 1820 2002 2156 2401 2548 2695 2860 3185 3430 3773 4004 4459 4802 5005 5390 6370 6860 7007 7546 8918 9604 10010 10780 12005 12740 14014 15092 16807 17836 18865 20020 22295 24010 26411 28028 31213 33614 35035 37730 44590 48020 49049 52822 62426 67228 70070 75460 84035 89180 98098 105644 124852 132055 140140 156065 168070 184877 196196 218491 245245 264110 312130 336140 343343 369754 436982 490490 528220 624260 686686 739508 873964 924385 980980 1092455 1373372 1716715 1848770 2184910 2403401 3433430 3697540 4369820 4806802 6866860 9613604 12017005 24034010 48068020