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42104480 = 2551147509
BaseRepresentation
bin1010000010011…
…1011010100000
32221020010111012
42200213122200
541234320410
64102240052
71020611405
oct240473240
987203435
1042104480
11218487a0
1212126028
1389526c2
1458402ac
153a6a605
hex28276a0

42104480 has 96 divisors (see below), whose sum is σ = 111041280. Its totient is φ = 14955520.

The previous prime is 42104477. The next prime is 42104509. The reversal of 42104480 is 8440124.

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, 82466 + ... + 82974.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 242104480 is an apocalyptic number.

42104480 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 42104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55520640).

42104480 is an abundant number, since it is smaller than the sum of its proper divisors (68936800).

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

42104480 is a wasteful number, since it uses less digits than its factorization.

42104480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 42104480 is about 6488.7964985812. The cubic root of 42104480 is about 347.8906601491.

It can be divided in two parts, 421044 and 80, that added together give a palindrome (421124).

The spelling of 42104480 in words is "forty-two million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 176 188 220 235 352 376 440 470 509 517 752 880 940 1018 1034 1504 1760 1880 2036 2068 2545 2585 3760 4072 4136 5090 5170 5599 7520 8144 8272 10180 10340 11198 16288 16544 20360 20680 22396 23923 27995 40720 41360 44792 47846 55990 81440 82720 89584 95692 111980 119615 179168 191384 223960 239230 263153 382768 447920 478460 526306 765536 895840 956920 1052612 1315765 1913840 2105224 2631530 3827680 4210448 5263060 8420896 10526120 21052240 42104480