Search a number
-
+
45797968 = 2423971283
BaseRepresentation
bin1010111010110…
…1001001010000
310012011210000001
42232231021100
543211013333
64313335344
71064163526
oct256551120
9105153001
1045797968
1123940767
1213407554
1396468b8
146122316
154049b7d
hex2bad250

45797968 has 40 divisors (see below), whose sum is σ = 93619008. Its totient is φ = 21660672.

The previous prime is 45797879. The next prime is 45798001. The reversal of 45797968 is 86979754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35055 + ... + 36337.

Almost surely, 245797968 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 45797968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46809504).

45797968 is an abundant number, since it is smaller than the sum of its proper divisors (47821040).

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

45797968 is a wasteful number, since it uses less digits than its factorization.

45797968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1405 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 55.

The square root of 45797968 is about 6767.4195968626. The cubic root of 45797968 is about 357.7794590608.

The spelling of 45797968 in words is "forty-five million, seven hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 776 1283 1552 2231 2566 4462 5132 8924 10264 17848 20528 29509 35696 59018 118036 124451 236072 248902 472144 497804 995608 1991216 2862373 5724746 11449492 22898984 45797968