Search a number
-
+
45368848 = 247537643
BaseRepresentation
bin1010110100010…
…0011000010000
310011100222100201
42231010120100
543103300343
64300224544
71060425460
oct255043020
9104328321
1045368848
1123678318
121323b154
139526495
14604dba0
153eb294d
hex2b44610

45368848 has 40 divisors (see below), whose sum is σ = 102368448. Its totient is φ = 19074432.

The previous prime is 45368839. The next prime is 45368863. The reversal of 45368848 is 84886354.

It is a junction number, because it is equal to n+sod(n) for n = 45368798 and 45368807.

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, 2115 + ... + 9757.

Almost surely, 245368848 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 45368848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51184224).

45368848 is an abundant number, since it is smaller than the sum of its proper divisors (56999600).

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

45368848 is a wasteful number, since it uses less digits than its factorization.

45368848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7711 (or 7705 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The square root of 45368848 is about 6735.6401329050. The cubic root of 45368848 is about 356.6585042920.

The spelling of 45368848 in words is "forty-five million, three hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1484 2968 5936 7643 15286 30572 53501 61144 107002 122288 214004 405079 428008 810158 856016 1620316 2835553 3240632 5671106 6481264 11342212 22684424 45368848