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42158480 = 2457135791
BaseRepresentation
bin1010000011010…
…0100110010000
32221022212120012
42200310212100
541243032410
64103334052
71021225010
oct240644620
987285505
1042158480
1121885321
1212151328
138971160
145855c40
153a7b605
hex2834990

42158480 has 80 divisors (see below), whose sum is σ = 120658944. Its totient is φ = 13340160.

The previous prime is 42158443. The next prime is 42158491. The reversal of 42158480 is 8485124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4385 + ... + 10175.

Almost surely, 242158480 is an apocalyptic number.

42158480 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 42158480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60329472).

42158480 is an abundant number, since it is smaller than the sum of its proper divisors (78500464).

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

42158480 is a wasteful number, since it uses less digits than its factorization.

42158480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 42158480 is about 6492.9561834345. The cubic root of 42158480 is about 348.0393226363.

The spelling of 42158480 in words is "forty-two million, one hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 5791 7280 11582 23164 28955 40537 46328 57910 75283 81074 92656 115820 150566 162148 202685 231640 301132 324296 376415 405370 463280 526981 602264 648592 752830 810740 1053962 1204528 1505660 1621480 2107924 2634905 3011320 3242960 4215848 5269810 6022640 8431696 10539620 21079240 42158480