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42154840 = 23571337313
BaseRepresentation
bin1010000011001…
…1101101011000
32221022200120101
42200303231120
541242423330
64103305144
71021211260
oct240635530
987280511
1042154840
1121882612
121214b1b4
13896c5c0
1458547a0
153a7a4ca
hex2833b58

42154840 has 128 divisors (see below), whose sum is σ = 120274560. Its totient is φ = 12939264.

The previous prime is 42154813. The next prime is 42154841. The reversal of 42154840 is 4845124.

42154840 = 24512 + 24522 + ... + 24572.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 42154840 = 223 + 3483 = 1933 + 3273.

It is a junction number, because it is equal to n+sod(n) for n = 42154799 and 42154808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42154841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134524 + ... + 134836.

It is an arithmetic number, because the mean of its divisors is an integer number (939645).

Almost surely, 242154840 is an apocalyptic number.

42154840 is a gapful number since it is divisible by the number (40) 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 42154840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60137280).

42154840 is an abundant number, since it is smaller than the sum of its proper divisors (78119720).

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

42154840 is a wasteful number, since it uses less digits than its factorization.

42154840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 42154840 is about 6492.6758736287. The cubic root of 42154840 is about 348.0293056749.

Adding to 42154840 its reverse (4845124), we get a palindrome (46999964).

The spelling of 42154840 in words is "forty-two million, one hundred fifty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 37 40 52 56 65 70 74 91 104 130 140 148 182 185 259 260 280 296 313 364 370 455 481 518 520 626 728 740 910 962 1036 1252 1295 1480 1565 1820 1924 2072 2191 2405 2504 2590 3130 3367 3640 3848 4069 4382 4810 5180 6260 6734 8138 8764 9620 10360 10955 11581 12520 13468 16276 16835 17528 19240 20345 21910 23162 26936 28483 32552 33670 40690 43820 46324 56966 57905 67340 81067 81380 87640 92648 113932 115810 134680 142415 150553 162134 162760 227864 231620 284830 301106 324268 405335 463240 569660 602212 648536 752765 810670 1053871 1139320 1204424 1505530 1621340 2107742 3011060 3242680 4215484 5269355 6022120 8430968 10538710 21077420 42154840