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145416557 = 111321923179
BaseRepresentation
bin10001010101011…
…10000101101101
3101010121221000102
420222232011231
5244211312212
622232440445
73414006656
oct1052560555
9333557012
10145416557
11750a1680
1240849125
1324185900
141545452d
15cb765c2
hex8aae16d

145416557 has 48 divisors (see below), whose sum is σ = 189734400. Its totient is φ = 109961280.

The previous prime is 145416539. The next prime is 145416559. The reversal of 145416557 is 755614541.

145416557 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145416557 - 218 = 145154413 is a prime.

It is a super-2 number, since 2×1454165572 = 42291950099468498, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 145416557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145416559) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812294 + ... + 812472.

It is an arithmetic number, because the mean of its divisors is an integer number (3952800).

Almost surely, 2145416557 is an apocalyptic number.

It is an amenable number.

145416557 is a deficient number, since it is larger than the sum of its proper divisors (44317843).

145416557 is a wasteful number, since it uses less digits than its factorization.

145416557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its digits is 84000, while the sum is 38.

The square root of 145416557 is about 12058.8787621404. The cubic root of 145416557 is about 525.8613910440.

The spelling of 145416557 in words is "one hundred forty-five million, four hundred sixteen thousand, five hundred fifty-seven".

Divisors: 1 11 13 19 23 143 169 179 209 247 253 299 437 1859 1969 2327 2717 3211 3289 3401 3887 4117 4807 5681 25597 30251 35321 37411 42757 44213 45287 53521 62491 73853 78223 332761 486343 574769 588731 695773 812383 860453 1016899 6322459 7653503 11185889 13219687 145416557