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152530048 = 2711127853
BaseRepresentation
bin10010001011101…
…10110010000000
3101122000022220001
421011312302000
5303021430143
623045125344
73531325006
oct1105666200
9348008801
10152530048
11791100a0
12430b9854
13257a6688
1416386a76
15d5ce14d
hex9176c80

152530048 has 64 divisors (see below), whose sum is σ = 334494720. Its totient is φ = 68705280.

The previous prime is 152530009. The next prime is 152530051. The reversal of 152530048 is 840035251.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 152529998 and 152530025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178390 + ... + 179242.

It is an arithmetic number, because the mean of its divisors is an integer number (5226480).

Almost surely, 2152530048 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 152530048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167247360).

152530048 is an abundant number, since it is smaller than the sum of its proper divisors (181964672).

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

152530048 is a wasteful number, since it uses less digits than its factorization.

152530048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 152530048 is about 12350.3055832639. The cubic root of 152530048 is about 534.2999525857.

Adding to 152530048 its reverse (840035251), we get a palindrome (992565299).

The spelling of 152530048 in words is "one hundred fifty-two million, five hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 352 508 704 853 1016 1397 1408 1706 2032 2794 3412 4064 5588 6824 8128 9383 11176 13648 16256 18766 22352 27296 37532 44704 54592 75064 89408 108331 109184 150128 178816 216662 300256 433324 600512 866648 1191641 1201024 1733296 2383282 3466592 4766564 6933184 9533128 13866368 19066256 38132512 76265024 152530048