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42151104 = 263447173
BaseRepresentation
bin1010000011001…
…0110011000000
32221022111110000
42200302303000
541242313404
64103240000
71021164342
oct240626300
987274400
1042151104
112187a826
1212149000
13896a9a8
145853292
153a79339
hex2832cc0

42151104 has 140 divisors (see below), whose sum is σ = 128345184. Its totient is φ = 13671936.

The previous prime is 42151097. The next prime is 42151117. The reversal of 42151104 is 40115124.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 243562 + ... + 243734.

Almost surely, 242151104 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 42151104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64172592).

42151104 is an abundant number, since it is smaller than the sum of its proper divisors (86194080).

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

42151104 is a wasteful number, since it uses less digits than its factorization.

42151104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 42151104 is about 6492.3881584514. The cubic root of 42151104 is about 348.0190239303.

Adding to 42151104 its reverse (40115124), we get a palindrome (82266228).

The spelling of 42151104 in words is "forty-two million, one hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 141 144 162 173 188 192 216 282 288 324 346 376 423 432 519 564 576 648 692 752 846 864 1038 1128 1269 1296 1384 1504 1557 1692 1728 2076 2256 2538 2592 2768 3008 3114 3384 3807 4152 4512 4671 5076 5184 5536 6228 6768 7614 8131 8304 9024 9342 10152 11072 12456 13536 14013 15228 16262 16608 18684 20304 24393 24912 27072 28026 30456 32524 33216 37368 40608 48786 49824 56052 60912 65048 73179 74736 81216 97572 99648 112104 121824 130096 146358 149472 195144 219537 224208 243648 260192 292716 298944 390288 439074 448416 520384 585432 658611 780576 878148 896832 1170864 1317222 1561152 1756296 2341728 2634444 3512592 4683456 5268888 7025184 10537776 14050368 21075552 42151104