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146052948 = 223531311753
BaseRepresentation
bin10001011010010…
…01011101010100
3101011211020222110
420231021131110
5244342143243
622254231020
73422300226
oct1055113524
9334736873
10146052948
1175496818
1240ab5470
1324349482
141557c416
15cc4ee33
hex8b49754

146052948 has 48 divisors (see below), whose sum is σ = 350070336. Its totient is φ = 47374080.

The previous prime is 146052941. The next prime is 146052953. The reversal of 146052948 is 849250641.

It is a super-3 number, since 3×1460529483 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146052941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 82440 + ... + 84192.

It is an arithmetic number, because the mean of its divisors is an integer number (7293132).

Almost surely, 2146052948 is an apocalyptic number.

It is an amenable number.

146052948 is an abundant number, since it is smaller than the sum of its proper divisors (204017388).

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

146052948 is a wasteful number, since it uses less digits than its factorization.

146052948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 146052948 is about 12085.2367788141. The cubic root of 146052948 is about 526.6273892267.

The spelling of 146052948 in words is "one hundred forty-six million, fifty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 53 106 131 159 212 262 318 393 524 636 786 1572 1753 3506 5259 6943 7012 10518 13886 20829 21036 27772 41658 83316 92909 185818 229643 278727 371636 459286 557454 688929 918572 1114908 1377858 2755716 12171079 24342158 36513237 48684316 73026474 146052948