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42685056 = 273423179
BaseRepresentation
bin1010001011010…
…1001010000000
32222022121220000
42202311022000
541411410211
64122520000
71025550141
oct242651200
988277800
1042685056
1122104a07
1212366000
138ac6a3b
145951ac8
153b32656
hex28b5280

42685056 has 160 divisors (see below), whose sum is σ = 133293600. Its totient is φ = 13533696.

The previous prime is 42685037. The next prime is 42685067. The reversal of 42685056 is 65058624.

It is a super-3 number, since 3×426850563 (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42685056.

It is a congruent number.

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, 238375 + ... + 238553.

It is an arithmetic number, because the mean of its divisors is an integer number (833085).

Almost surely, 242685056 is an apocalyptic number.

42685056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42685056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66646800).

42685056 is an abundant number, since it is smaller than the sum of its proper divisors (90608544).

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

42685056 is a wasteful number, since it uses less digits than its factorization.

42685056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42685056 is about 6533.3801358868. The cubic root of 42685056 is about 349.4823804413.

The spelling of 42685056 in words is "forty-two million, six hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 128 138 144 162 179 184 192 207 216 276 288 324 358 368 384 414 432 537 552 576 621 648 716 736 828 864 1074 1104 1152 1242 1296 1432 1472 1611 1656 1728 1863 2148 2208 2484 2592 2864 2944 3222 3312 3456 3726 4117 4296 4416 4833 4968 5184 5728 6444 6624 7452 8234 8592 8832 9666 9936 10368 11456 12351 12888 13248 14499 14904 16468 17184 19332 19872 22912 24702 25776 26496 28998 29808 32936 34368 37053 38664 39744 49404 51552 57996 59616 65872 68736 74106 77328 79488 98808 103104 111159 115992 119232 131744 148212 154656 197616 206208 222318 231984 238464 263488 296424 309312 333477 395232 444636 463968 526976 592848 618624 666954 790464 889272 927936 1185696 1333908 1580928 1778544 1855872 2371392 2667816 3557088 4742784 5335632 7114176 10671264 14228352 21342528 42685056