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42946480 = 245717561
BaseRepresentation
bin1010001111010…
…0111110110000
32222210220111101
42203310332300
541443241410
64132254144
71031016253
oct243647660
988726441
1042946480
1122273365
1212471354
138b88a25
1459bd09a
153b84d3a
hex28f4fb0

42946480 has 40 divisors (see below), whose sum is σ = 101270304. Its totient is φ = 16934400.

The previous prime is 42946469. The next prime is 42946481. The reversal of 42946480 is 8464924.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (42946481) 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, 1900 + ... + 9460.

Almost surely, 242946480 is an apocalyptic number.

42946480 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 42946480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50635152).

42946480 is an abundant number, since it is smaller than the sum of its proper divisors (58323824).

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

42946480 is a wasteful number, since it uses less digits than its factorization.

42946480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 42946480 is about 6553.3563919567. The cubic root of 42946480 is about 350.1943954112.

The spelling of 42946480 in words is "forty-two million, nine hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 7561 15122 30244 37805 60488 75610 120976 151220 302440 536831 604880 1073662 2147324 2684155 4294648 5368310 8589296 10736620 21473240 42946480