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146638485 = 3357198167
BaseRepresentation
bin10001011110110…
…00011010010101
3101012221000012000
420233120122111
5300014412420
622314545513
73430256310
oct1057303225
9335830160
10146638485
1175856734
1241138299
13244c2b46
1415691977
15cd18690
hex8bd8695

146638485 has 64 divisors (see below), whose sum is σ = 313651200. Its totient is φ = 63498816.

The previous prime is 146638483. The next prime is 146638487. The reversal of 146638485 is 584836641.

146638485 is a `hidden beast` number, since 1 + 4 + 6 + 638 + 4 + 8 + 5 = 666.

146638485 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146638483) and next prime (146638487).

It is not a de Polignac number, because 146638485 - 21 = 146638483 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 146638485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146638483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13872 + ... + 22038.

It is an arithmetic number, because the mean of its divisors is an integer number (4900800).

Almost surely, 2146638485 is an apocalyptic number.

146638485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146638485 is an abundant number, since it is smaller than the sum of its proper divisors (167012715).

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

146638485 is a wasteful number, since it uses less digits than its factorization.

146638485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8207 (or 8201 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 146638485 is about 12109.4378482240. The cubic root of 146638485 is about 527.3302134698.

The spelling of 146638485 in words is "one hundred forty-six million, six hundred thirty-eight thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 95 105 133 135 171 189 285 315 399 513 665 855 945 1197 1995 2565 3591 5985 8167 17955 24501 40835 57169 73503 122505 155173 171507 220509 285845 367515 465519 514521 775865 857535 1086211 1102545 1396557 1543563 2327595 2572605 3258633 4189671 5431055 6982785 7717815 9775899 16293165 20948355 29327697 48879495 146638485