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42736860 = 223252331019
BaseRepresentation
bin1010001100000…
…1110011011100
32222102020221200
42203001303130
541420034420
64123555500
71026154155
oct243016334
988366850
1042736860
112213a921
121238bb90
138b144aa
14596692c
153b42b90
hex28c1cdc

42736860 has 72 divisors (see below), whose sum is σ = 130319280. Its totient is φ = 11336448.

The previous prime is 42736849. The next prime is 42736873. The reversal of 42736860 is 6863724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41431 + ... + 42449.

It is an arithmetic number, because the mean of its divisors is an integer number (1809990).

Almost surely, 242736860 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 42736860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65159640).

42736860 is an abundant number, since it is smaller than the sum of its proper divisors (87582420).

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

42736860 is a wasteful number, since it uses less digits than its factorization.

42736860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42736860 is about 6537.3434971707. The cubic root of 42736860 is about 349.6237044218.

The spelling of 42736860 in words is "forty-two million, seven hundred thirty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 466 699 932 1019 1165 1398 2038 2097 2330 2796 3057 3495 4076 4194 4660 5095 6114 6990 8388 9171 10190 10485 12228 13980 15285 18342 20380 20970 30570 36684 41940 45855 61140 91710 183420 237427 474854 712281 949708 1187135 1424562 2136843 2374270 2849124 3561405 4273686 4748540 7122810 8547372 10684215 14245620 21368430 42736860