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145542204 = 22331923733
BaseRepresentation
bin10001010110011…
…00110000111100
3101010212022101000
420223030300330
5244224322304
622235250300
73415042203
oct1053146074
9333768330
10145542204
1175178015
12408a9990
13241cab62
141548823a
15cb9d939
hex8accc3c

145542204 has 72 divisors (see below), whose sum is σ = 398343120. Its totient is φ = 45948384.

The previous prime is 145542197. The next prime is 145542227. The reversal of 145542204 is 402245541.

145542204 is a `hidden beast` number, since 1 + 455 + 4 + 2 + 204 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37122 + ... + 40854.

Almost surely, 2145542204 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 145542204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199171560).

145542204 is an abundant number, since it is smaller than the sum of its proper divisors (252800916).

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

145542204 is a wasteful number, since it uses less digits than its factorization.

145542204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3784 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 145542204 is about 12064.0873670577. The cubic root of 145542204 is about 526.0128040756.

Adding to 145542204 its reverse (402245541), we get a palindrome (547787745).

The spelling of 145542204 in words is "one hundred forty-five million, five hundred forty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 361 513 684 722 1026 1083 1444 2052 2166 3249 3733 4332 6498 7466 9747 11199 12996 14932 19494 22398 33597 38988 44796 67194 70927 100791 134388 141854 201582 212781 283708 403164 425562 638343 851124 1276686 1347613 1915029 2553372 2695226 3830058 4042839 5390452 7660116 8085678 12128517 16171356 24257034 36385551 48514068 72771102 145542204