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42171456 = 2631571399
BaseRepresentation
bin1010000011011…
…1110001000000
32221100112100210
42200313301000
541243441311
64103514120
71021310565
oct240676100
987315323
1042171456
1121894048
1212158940
138977032
14585a86c
153a803a6
hex2837c40

42171456 has 56 divisors (see below), whose sum is σ = 112369600. Its totient is φ = 13957632.

The previous prime is 42171449. The next prime is 42171457. The reversal of 42171456 is 65417124.

It is not an unprimeable number, because it can be changed into a prime (42171457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29445 + ... + 30843.

It is an arithmetic number, because the mean of its divisors is an integer number (2006600).

Almost surely, 242171456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42171456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56184800).

42171456 is an abundant number, since it is smaller than the sum of its proper divisors (70198144).

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

42171456 is a wasteful number, since it uses less digits than its factorization.

42171456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1561 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 42171456 is about 6493.9553432404. The cubic root of 42171456 is about 348.0750267618.

The spelling of 42171456 in words is "forty-two million, one hundred seventy-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 157 192 314 471 628 942 1256 1399 1884 2512 2798 3768 4197 5024 5596 7536 8394 10048 11192 15072 16788 22384 30144 33576 44768 67152 89536 134304 219643 268608 439286 658929 878572 1317858 1757144 2635716 3514288 5271432 7028576 10542864 14057152 21085728 42171456