[go: up one dir, main page]

Search a number
-
+
45049752 = 23321125171
BaseRepresentation
bin1010101111011…
…0011110011000
310010202202122100
42223312132120
543013043002
64245323400
71054626246
oct253663630
9103682570
1045049752
112347a600
1213106560
139444177
145da9796
153e4d11c
hex2af6798

45049752 has 72 divisors (see below), whose sum is σ = 134135820. Its totient is φ = 13648800.

The previous prime is 45049751. The next prime is 45049769. The reversal of 45049752 is 25794054.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45049751) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6127 + ... + 11297.

Almost surely, 245049752 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 45049752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67067910).

45049752 is an abundant number, since it is smaller than the sum of its proper divisors (89086068).

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

45049752 is a wasteful number, since it uses less digits than its factorization.

45049752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5205 (or 5187 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45049752 is about 6711.9112032267. The cubic root of 45049752 is about 355.8203655446.

The spelling of 45049752 in words is "forty-five million, forty-nine thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 5171 8712 10342 15513 20684 31026 41368 46539 56881 62052 93078 113762 124104 170643 186156 227524 341286 372312 455048 511929 625691 682572 1023858 1251382 1365144 1877073 2047716 2502764 3754146 4095432 5005528 5631219 7508292 11262438 15016584 22524876 45049752