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45788157 = 3217192829
BaseRepresentation
bin1010111010101…
…0101111111101
310012011021112200
42232222233331
543210210112
64313222113
71064123112
oct256525775
9105137480
1045788157
1123934358
1213401939
1396422ac
14611c909
154046cdc
hex2baabfd

45788157 has 36 divisors (see below), whose sum is σ = 73997820. Its totient is φ = 27184896.

The previous prime is 45788153. The next prime is 45788161. The reversal of 45788157 is 75188754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45788153) and next prime (45788161).

It can be written as a sum of positive squares in 2 ways, for example, as 31203396 + 14584761 = 5586^2 + 3819^2 .

It is not a de Polignac number, because 45788157 - 22 = 45788153 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45788153) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54819 + ... + 55647.

It is an arithmetic number, because the mean of its divisors is an integer number (2055495).

Almost surely, 245788157 is an apocalyptic number.

It is an amenable number.

45788157 is a deficient number, since it is larger than the sum of its proper divisors (28209663).

45788157 is a wasteful number, since it uses less digits than its factorization.

45788157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 868 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 45788157 is about 6766.6946879551. The cubic root of 45788157 is about 357.7539089828.

The spelling of 45788157 in words is "forty-five million, seven hundred eighty-eight thousand, one hundred fifty-seven".

Divisors: 1 3 9 17 19 51 57 153 171 323 361 829 969 1083 2487 2907 3249 6137 7461 14093 15751 18411 42279 47253 55233 126837 141759 267767 299269 803301 897807 2409903 2693421 5087573 15262719 45788157