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42939216 = 2432319619
BaseRepresentation
bin1010001111001…
…1001101010000
32222210112112100
42203303031100
541443023331
64132200400
71030656135
oct243631520
988715470
1042939216
1122268961
1212469100
138b85628
1459ba58c
153b82ae6
hex28f3350

42939216 has 60 divisors (see below), whose sum is σ = 124059520. Its totient is φ = 13849920.

The previous prime is 42939199. The next prime is 42939223. The reversal of 42939216 is 61293924.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346 + ... + 9273.

Almost surely, 242939216 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 42939216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62029760).

42939216 is an abundant number, since it is smaller than the sum of its proper divisors (81120304).

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

42939216 is a wasteful number, since it uses less digits than its factorization.

42939216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9664 (or 9655 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 42939216 is about 6552.8021486994. The cubic root of 42939216 is about 350.1746502499.

The spelling of 42939216 in words is "forty-two million, nine hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9619 19238 28857 38476 57714 76952 86571 115428 153904 173142 230856 298189 346284 461712 596378 692568 894567 1192756 1385136 1789134 2385512 2683701 3578268 4771024 5367402 7156536 10734804 14313072 21469608 42939216