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42154920 = 23325196163
BaseRepresentation
bin1010000011001…
…1101110101000
32221022200200100
42200303232220
541242424140
64103305400
71021211433
oct240635650
987280610
1042154920
1121882685
121214b260
13896c652
14585481a
153a7a530
hex2833ba8

42154920 has 96 divisors (see below), whose sum is σ = 144237600. Its totient is φ = 10647936.

The previous prime is 42154919. The next prime is 42154927. The reversal of 42154920 is 2945124.

It is not an unprimeable number, because it can be changed into a prime (42154927) 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, 3759 + ... + 9921.

It is an arithmetic number, because the mean of its divisors is an integer number (1502475).

Almost surely, 242154920 is an apocalyptic number.

42154920 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 42154920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72118800).

42154920 is an abundant number, since it is smaller than the sum of its proper divisors (102082680).

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

42154920 is a wasteful number, since it uses less digits than its factorization.

42154920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6199 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42154920 is about 6492.6820344138. The cubic root of 42154920 is about 348.0295258341.

The spelling of 42154920 in words is "forty-two million, one hundred fifty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6163 6840 12326 18489 24652 30815 36978 49304 55467 61630 73956 92445 110934 117097 123260 147912 184890 221868 234194 246520 277335 351291 369780 443736 468388 554670 585485 702582 739560 936776 1053873 1109340 1170970 1405164 1756455 2107746 2218680 2341940 2810328 3512910 4215492 4683880 5269365 7025820 8430984 10538730 14051640 21077460 42154920