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42682350 = 23523167137
BaseRepresentation
bin1010001011010…
…0011111101110
32222022111011210
42202310133232
541411313400
64122455250
71025536224
oct242643756
988274153
1042682350
1122102977
1212364526
138ac5739
145950b14
153b31950
hex28b47ee

42682350 has 96 divisors (see below), whose sum is σ = 111707136. Its totient is φ = 10771200.

The previous prime is 42682337. The next prime is 42682363. The reversal of 42682350 is 5328624.

It is an interprime number because it is at equal distance from previous prime (42682337) and next prime (42682363).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 311482 + ... + 311618.

It is an arithmetic number, because the mean of its divisors is an integer number (1163616).

Almost surely, 242682350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42682350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55853568).

42682350 is an abundant number, since it is smaller than the sum of its proper divisors (69024786).

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

42682350 is a wasteful number, since it uses less digits than its factorization.

42682350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42682350 is about 6533.1730422514. The cubic root of 42682350 is about 349.4749951923.

The spelling of 42682350 in words is "forty-two million, six hundred eighty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 67 75 93 134 137 150 155 186 201 274 310 335 402 411 465 670 685 775 822 930 1005 1370 1550 1675 2010 2055 2077 2325 3350 3425 4110 4154 4247 4650 5025 6231 6850 8494 9179 10050 10275 10385 12462 12741 18358 20550 20770 21235 25482 27537 31155 42470 45895 51925 55074 62310 63705 91790 103850 106175 127410 137685 155775 212350 229475 275370 284549 311550 318525 458950 569098 637050 688425 853647 1376850 1422745 1707294 2845490 4268235 7113725 8536470 14227450 21341175 42682350