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42698016 = 253517219
BaseRepresentation
bin1010001011100…
…0010100100000
32222100021200000
42202320110200
541412314031
64123100000
71025633004
oct242702440
988307600
1042698016
1122113719
1212371600
138acc8ca
145956704
153b363e6
hex28b8520

42698016 has 216 divisors, whose sum is σ = 140802480. Its totient is φ = 12690432.

The previous prime is 42697979. The next prime is 42698021. The reversal of 42698016 is 61089624.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2247255 + ... + 2247273.

Almost surely, 242698016 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 42698016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70401240).

42698016 is an abundant number, since it is smaller than the sum of its proper divisors (98104464).

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

42698016 is a wasteful number, since it uses less digits than its factorization.

42698016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42698016 is about 6534.3718902432. The cubic root of 42698016 is about 349.5177467089.

The spelling of 42698016 in words is "forty-two million, six hundred ninety-eight thousand, sixteen".