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42752340 = 22335411931
BaseRepresentation
bin1010001100010…
…1100101010100
32222110001012000
42203011211110
541421033330
64124155300
71026250251
oct243054524
988401160
1042752340
1122150514
1212398b30
138b1b557
14596c428
153b47560
hex28c5954

42752340 has 96 divisors (see below), whose sum is σ = 136321920. Its totient is φ = 11116800.

The previous prime is 42752327. The next prime is 42752341. The reversal of 42752340 is 4325724.

42752340 is a `hidden beast` number, since 427 + 5 + 234 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42752341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21175 + ... + 23105.

It is an arithmetic number, because the mean of its divisors is an integer number (1420020).

Almost surely, 242752340 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 42752340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68160960).

42752340 is an abundant number, since it is smaller than the sum of its proper divisors (93569580).

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

42752340 is a wasteful number, since it uses less digits than its factorization.

42752340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 42752340 is about 6538.5273571348. The cubic root of 42752340 is about 349.6659124955.

The spelling of 42752340 in words is "forty-two million, seven hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 1931 2214 2460 3690 3862 4428 5535 5793 7380 7724 9655 11070 11586 17379 19310 22140 23172 28965 34758 38620 52137 57930 69516 79171 86895 104274 115860 158342 173790 208548 237513 260685 316684 347580 395855 475026 521370 712539 791710 950052 1042740 1187565 1425078 1583420 2137617 2375130 2850156 3562695 4275234 4750260 7125390 8550468 10688085 14250780 21376170 42752340