Search a number
-
+
8074242 = 2341123197
BaseRepresentation
bin11110110011010000000010
3120012012210000
4132303100002
54031333432
6445020430
7125426031
oct36632002
916165700
108074242
114615330
122854716
131899177
141102718
15a9757c
hex7b3402

8074242 has 80 divisors (see below), whose sum is σ = 20699712. Its totient is φ = 2328480.

The previous prime is 8074217. The next prime is 8074247. The reversal of 8074242 is 2424708.

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

It is not an unprimeable number, because it can be changed into a prime (8074247) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40888 + ... + 41084.

Almost surely, 28074242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8074242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349856).

8074242 is an abundant number, since it is smaller than the sum of its proper divisors (12625470).

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

8074242 is a wasteful number, since it uses less digits than its factorization.

8074242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8074242 is about 2841.5210715390. The cubic root of 8074242 is about 200.6167792946.

The spelling of 8074242 in words is "eight million, seventy-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 197 198 207 253 297 394 414 506 591 594 621 759 891 1182 1242 1518 1773 1782 1863 2167 2277 3546 3726 4334 4531 4554 5319 6501 6831 9062 10638 13002 13593 13662 15957 19503 20493 27186 31914 39006 40779 40986 49841 58509 81558 99682 117018 122337 149523 175527 244674 299046 351054 367011 448569 734022 897138 1345707 2691414 4037121 8074242