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42155328 = 2632967113
BaseRepresentation
bin1010000011001…
…1110101000000
32221022201020110
42200303311000
541242432303
64103311320
71021212555
oct240636500
987281213
1042155328
1121882a16
121214b540
13896c8a7
145854a2c
153a7a703
hex2833d40

42155328 has 112 divisors (see below), whose sum is σ = 118140480. Its totient is φ = 13246464.

The previous prime is 42155317. The next prime is 42155329. The reversal of 42155328 is 82355124.

It is a junction number, because it is equal to n+sod(n) for n = 42155295 and 42155304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42155329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373000 + ... + 373112.

Almost surely, 242155328 is an apocalyptic number.

42155328 is a gapful number since it is divisible by the number (48) 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 42155328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59070240).

42155328 is an abundant number, since it is smaller than the sum of its proper divisors (75985152).

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

42155328 is a wasteful number, since it uses less digits than its factorization.

42155328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 214 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 42155328 is about 6492.7134543271. The cubic root of 42155328 is about 348.0306486417.

The spelling of 42155328 in words is "forty-two million, one hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 67 87 96 113 116 134 174 192 201 226 232 268 339 348 402 452 464 536 678 696 804 904 928 1072 1356 1392 1608 1808 1856 1943 2144 2712 2784 3216 3277 3616 3886 4288 5424 5568 5829 6432 6554 7232 7571 7772 9831 10848 11658 12864 13108 15142 15544 19662 21696 22713 23316 26216 30284 31088 39324 45426 46632 52432 60568 62176 78648 90852 93264 104864 121136 124352 157296 181704 186528 209728 219559 242272 314592 363408 373056 439118 484544 629184 658677 726816 878236 1317354 1453632 1756472 2634708 3512944 5269416 7025888 10538832 14051776 21077664 42155328