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42780432 = 24317103509
BaseRepresentation
bin1010001100110…
…0011100010000
32222111110201110
42203030130100
541422433212
64124533320
71026425202
oct243143420
988443643
1042780432
112216a632
12123b1240
138b2b286
145978772
153b50a3c
hex28cc710

42780432 has 80 divisors (see below), whose sum is σ = 118385280. Its totient is φ = 13264896.

The previous prime is 42780421. The next prime is 42780443. The reversal of 42780432 is 23408724.

It is an interprime number because it is at equal distance from previous prime (42780421) and next prime (42780443).

It is a self number, because there is not a number n which added to its sum of digits gives 42780432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83794 + ... + 84302.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 242780432 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 42780432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59192640).

42780432 is an abundant number, since it is smaller than the sum of its proper divisors (75604848).

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

42780432 is a wasteful number, since it uses less digits than its factorization.

42780432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42780432 is about 6540.6751945040. The cubic root of 42780432 is about 349.7424826834.

The spelling of 42780432 in words is "forty-two million, seven hundred eighty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 103 136 204 206 272 309 408 412 509 618 816 824 1018 1236 1527 1648 1751 2036 2472 3054 3502 4072 4944 5253 6108 7004 8144 8653 10506 12216 14008 17306 21012 24432 25959 28016 34612 42024 51918 52427 69224 84048 103836 104854 138448 157281 207672 209708 314562 415344 419416 629124 838832 891259 1258248 1782518 2516496 2673777 3565036 5347554 7130072 10695108 14260144 21390216 42780432