Search a number
-
+
42917796 = 22332971193
BaseRepresentation
bin1010001110110…
…1111110100100
32222202110011000
42203231332210
541441332141
64131513300
71030536525
oct243557644
988673130
1042917796
1122253859
1212458830
138b7895c
1459b284c
153b7b5b6
hex28edfa4

42917796 has 96 divisors (see below), whose sum is σ = 117331200. Its totient is φ = 13547520.

The previous prime is 42917783. The next prime is 42917801. The reversal of 42917796 is 69771924.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222276 + ... + 222468.

It is an arithmetic number, because the mean of its divisors is an integer number (1222200).

Almost surely, 242917796 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 42917796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58665600).

42917796 is an abundant number, since it is smaller than the sum of its proper divisors (74413404).

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

42917796 is a wasteful number, since it uses less digits than its factorization.

42917796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 298 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 42917796 is about 6551.1675295324. The cubic root of 42917796 is about 350.1164129764.

It can be divided in two parts, 429 and 17796, that added together give a square (18225 = 1352).

The spelling of 42917796 in words is "forty-two million, nine hundred seventeen thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 71 87 108 116 142 174 193 213 261 284 348 386 426 522 579 639 772 783 852 1044 1158 1278 1566 1737 1917 2059 2316 2556 3132 3474 3834 4118 5211 5597 6177 6948 7668 8236 10422 11194 12354 13703 16791 18531 20844 22388 24708 27406 33582 37062 41109 50373 54812 55593 67164 74124 82218 100746 111186 123327 151119 164436 201492 222372 246654 302238 369981 397387 493308 604476 739962 794774 1192161 1479924 1589548 2384322 3576483 4768644 7152966 10729449 14305932 21458898 42917796