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42848820 = 223257311097
BaseRepresentation
bin1010001101110…
…1001000110100
32222121221112100
42203131020310
541432130240
64130222100
71030131450
oct243351064
988557470
1042848820
1122206a53
1212424930
138b53441
145995660
153b65e30
hex28dd234

42848820 has 144 divisors (see below), whose sum is σ = 153474048. Its totient is φ = 9469440.

The previous prime is 42848807. The next prime is 42848821. The reversal of 42848820 is 2884824.

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 (42848821) 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, 38512 + ... + 39608.

It is an arithmetic number, because the mean of its divisors is an integer number (1065792).

Almost surely, 242848820 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 42848820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76737024).

42848820 is an abundant number, since it is smaller than the sum of its proper divisors (110625228).

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

42848820 is a wasteful number, since it uses less digits than its factorization.

42848820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 42848820 is about 6545.9010075008. The cubic root of 42848820 is about 349.9287474002.

The spelling of 42848820 in words is "forty-two million, eight hundred forty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 868 930 1085 1097 1116 1260 1302 1395 1860 1953 2170 2194 2604 2790 3255 3291 3906 4340 4388 5485 5580 6510 6582 7679 7812 9765 9873 10970 13020 13164 15358 16455 19530 19746 21940 23037 30716 32910 34007 38395 39060 39492 46074 49365 65820 68014 69111 76790 92148 98730 102021 115185 136028 138222 153580 170035 197460 204042 230370 238049 276444 306063 340070 345555 408084 460740 476098 510105 612126 680140 691110 714147 952196 1020210 1190245 1224252 1382220 1428294 1530315 2040420 2142441 2380490 2856588 3060630 3570735 4284882 4760980 6121260 7141470 8569764 10712205 14282940 21424410 42848820