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152310048 = 25311236271
BaseRepresentation
bin10010001010000…
…01000100100000
3101121121011002220
421011001010200
5302442410143
623040311040
73526420422
oct1105010440
9347534086
10152310048
1178a7a880
1243012480
132572a4b7
141632a812
15d588d83
hex9141120

152310048 has 96 divisors (see below), whose sum is σ = 455196672. Its totient is φ = 44140800.

The previous prime is 152310031. The next prime is 152310049. The reversal of 152310048 is 840013251.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152310049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21153 + ... + 27423.

It is an arithmetic number, because the mean of its divisors is an integer number (4741632).

Almost surely, 2152310048 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 152310048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227598336).

152310048 is an abundant number, since it is smaller than the sum of its proper divisors (302886624).

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

152310048 is a wasteful number, since it uses less digits than its factorization.

152310048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6310 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 152310048 is about 12341.3957071313. The cubic root of 152310048 is about 534.0429484737.

Adding to 152310048 its reverse (840013251), we get a palindrome (992323299).

The spelling of 152310048 in words is "one hundred fifty-two million, three hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 6271 8096 12144 12542 18813 24288 25084 37626 50168 68981 75252 100336 137962 144233 150504 200672 206943 275924 288466 301008 413886 432699 551848 576932 602016 827772 865398 1103696 1153864 1586563 1655544 1730796 2207392 2307728 3173126 3311088 3461592 4615456 4759689 6346252 6622176 6923184 9519378 12692504 13846368 19038756 25385008 38077512 50770016 76155024 152310048