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45254052 = 2234197709
BaseRepresentation
bin1010110010100…
…0010110100100
310011011010220000
42230220112210
543041112202
64253541300
71056440004
oct254502644
9104133800
1045254052
11235aa048
12131a4830
1394b615c
146020004
153e8d91c
hex2b285a4

45254052 has 60 divisors (see below), whose sum is σ = 119071260. Its totient is φ = 14986944.

The previous prime is 45254047. The next prime is 45254057. The reversal of 45254052 is 25045254.

It is an interprime number because it is at equal distance from previous prime (45254047) and next prime (45254057).

It can be written as a sum of positive squares in 2 ways, for example, as 27815076 + 17438976 = 5274^2 + 4176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45254057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 63474 + ... + 64182.

It is an arithmetic number, because the mean of its divisors is an integer number (1984521).

Almost surely, 245254052 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 45254052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535630).

45254052 is an abundant number, since it is smaller than the sum of its proper divisors (73817208).

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

45254052 is a wasteful number, since it uses less digits than its factorization.

45254052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 45254052 is about 6727.1131995827. The cubic root of 45254052 is about 356.3574346336.

The spelling of 45254052 in words is "forty-five million, two hundred fifty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 324 394 591 709 788 1182 1418 1773 2127 2364 2836 3546 4254 5319 6381 7092 8508 10638 12762 15957 19143 21276 25524 31914 38286 57429 63828 76572 114858 139673 229716 279346 419019 558692 838038 1257057 1676076 2514114 3771171 5028228 7542342 11313513 15084684 22627026 45254052