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152146528 = 2519298629
BaseRepresentation
bin10010001000110…
…01001001100000
3101121021211210121
421010121021200
5302422142103
623033010024
73525136612
oct1104311140
9347254717
10152146528
1178978a36
1242b53914
13256a0c41
14162c6db2
15d5556bd
hex9119260

152146528 has 48 divisors (see below), whose sum is σ = 326214000. Its totient is φ = 69576192.

The previous prime is 152146507. The next prime is 152146559. The reversal of 152146528 is 825641251.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 152146493 and 152146502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13318 + ... + 21946.

It is an arithmetic number, because the mean of its divisors is an integer number (6796125).

Almost surely, 2152146528 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 152146528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163107000).

152146528 is an abundant number, since it is smaller than the sum of its proper divisors (174067472).

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

152146528 is a wasteful number, since it uses less digits than its factorization.

152146528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8687 (or 8679 counting only the distinct ones).

The product of its digits is 19200, while the sum is 34.

The square root of 152146528 is about 12334.7690695854. The cubic root of 152146528 is about 533.8517639480.

Adding to 152146528 its reverse (825641251), we get a palindrome (977787779).

The spelling of 152146528 in words is "one hundred fifty-two million, one hundred forty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 29 32 38 58 76 116 152 232 304 464 551 608 928 1102 2204 4408 8629 8816 17258 17632 34516 69032 138064 163951 250241 276128 327902 500482 655804 1000964 1311608 2001928 2623216 4003856 4754579 5246432 8007712 9509158 19018316 38036632 76073264 152146528