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42119616 = 2637211237
BaseRepresentation
bin1010000010101…
…1000111000000
32221020220020210
42200223013000
541240311431
64102434120
71021003500
oct240530700
987226223
1042119616
1121859100
1212132940
138959566
145845a00
153a6ed46
hex282b1c0

42119616 has 252 divisors, whose sum is σ = 146343624. Its totient is φ = 10644480.

The previous prime is 42119593. The next prime is 42119639. The reversal of 42119616 is 61691124.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42119593) and next prime (42119639).

It is a congruent number.

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, 1138350 + ... + 1138386.

Almost surely, 242119616 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 42119616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73171812).

42119616 is an abundant number, since it is smaller than the sum of its proper divisors (104224008).

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

42119616 is a wasteful number, since it uses less digits than its factorization.

42119616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 42119616 is about 6489.9627117573. The cubic root of 42119616 is about 347.9323425083.

The spelling of 42119616 in words is "forty-two million, one hundred nineteen thousand, six hundred sixteen".