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42678432 = 25321723379
BaseRepresentation
bin1010001011001…
…1100010100000
32222022021210200
42202303202200
541411202212
64122425200
71025521626
oct242634240
988267720
1042678432
11220aaa35
1212362200
138ac3a14
14594d516
153b306dc
hex28b38a0

42678432 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 12773376.

The previous prime is 42678431. The next prime is 42678439. The reversal of 42678432 is 23487624.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (42678431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112419 + ... + 112797.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 242678432 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 42678432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

42678432 is an abundant number, since it is smaller than the sum of its proper divisors (91768608).

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

42678432 is a wasteful number, since it uses less digits than its factorization.

42678432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 424 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 42678432 is about 6532.8731810743. The cubic root of 42678432 is about 349.4643015845.

The spelling of 42678432 in words is "forty-two million, six hundred seventy-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 32 34 36 46 48 51 68 69 72 92 96 102 136 138 144 153 184 204 207 272 276 288 306 368 379 391 408 414 544 552 612 736 758 782 816 828 1104 1137 1173 1224 1516 1564 1632 1656 2208 2274 2346 2448 3032 3128 3312 3411 3519 4548 4692 4896 6064 6256 6443 6624 6822 7038 8717 9096 9384 12128 12512 12886 13644 14076 17434 18192 18768 19329 25772 26151 27288 28152 34868 36384 37536 38658 51544 52302 54576 56304 57987 69736 77316 78453 103088 104604 109152 112608 115974 139472 148189 154632 156906 206176 209208 231948 278944 296378 309264 313812 418416 444567 463896 592756 618528 627624 836832 889134 927792 1185512 1255248 1333701 1778268 1855584 2371024 2510496 2667402 3556536 4742048 5334804 7113072 10669608 14226144 21339216 42678432