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146532048 = 24313449523
BaseRepresentation
bin10001011101111…
…10011011010000
3101012201121011220
420232332123100
5300003011143
622312405040
73426334065
oct1056763320
9335647156
10146532048
1175793773
12410a6780
1324486570
1415664c6c
15cce6d83
hex8bbe6d0

146532048 has 80 divisors (see below), whose sum is σ = 409348800. Its totient is φ = 44900352.

The previous prime is 146532037. The next prime is 146532053. The reversal of 146532048 is 840235641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279915 + ... + 280437.

It is an arithmetic number, because the mean of its divisors is an integer number (5116860).

Almost surely, 2146532048 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 146532048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204674400).

146532048 is an abundant number, since it is smaller than the sum of its proper divisors (262816752).

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

146532048 is a wasteful number, since it uses less digits than its factorization.

146532048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 146532048 is about 12105.0422551927. The cubic root of 146532048 is about 527.2025956952.

Adding to 146532048 its reverse (840235641), we get a palindrome (986767689).

The spelling of 146532048 in words is "one hundred forty-six million, five hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 449 523 624 898 1046 1347 1569 1796 2092 2694 3138 3592 4184 5388 5837 6276 6799 7184 8368 10776 11674 12552 13598 17511 20397 21552 23348 25104 27196 35022 40794 46696 54392 70044 81588 93392 108784 140088 163176 234827 280176 326352 469654 704481 939308 1408962 1878616 2817924 3052751 3757232 5635848 6105502 9158253 11271696 12211004 18316506 24422008 36633012 48844016 73266024 146532048