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42977088 = 26337111719
BaseRepresentation
bin1010001111110…
…0011101000000
32222212110111000
42203330131000
542000231323
64133052000
71031204430
oct243743500
988773430
1042977088
1122294360
1212487000
138b9993b
1459ca2c0
153b8de43
hex28fc740

42977088 has 448 divisors, whose sum is σ = 175564800. Its totient is φ = 9953280.

The previous prime is 42977063. The next prime is 42977089. The reversal of 42977088 is 88077924.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42977089) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261943 + ... + 2261961.

Almost surely, 242977088 is an apocalyptic number.

42977088 is a gapful number since it is divisible by the number (48) 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 42977088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

42977088 is an abundant number, since it is smaller than the sum of its proper divisors (132587712).

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

42977088 is a wasteful number, since it uses less digits than its factorization.

42977088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 42977088 is about 6555.6912678985. The cubic root of 42977088 is about 350.2775702887.

The spelling of 42977088 in words is "forty-two million, nine hundred seventy-seven thousand, eighty-eight".