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152628 = 22372379
BaseRepresentation
bin100101010000110100
321202100220
4211100310
514341003
63134340
71203660
oct452064
9252326
10152628
11a4743
12743b0
1354618
143d8a0
1530353
hex25434

152628 has 48 divisors (see below), whose sum is σ = 430080. Its totient is φ = 41184.

The previous prime is 152623. The next prime is 152629. The reversal of 152628 is 826251.

Adding to 152628 its reverse (826251), we get a palindrome (978879).

It can be divided in two parts, 152 and 628, that added together give a triangular number (780 = T39).

152628 is a nontrivial binomial coefficient, being equal to C(553, 2).

It is a junction number, because it is equal to n+sod(n) for n = 152598 and 152607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152623) 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, 1893 + ... + 1971.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2152628 is an apocalyptic number.

152628 is the 552-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040).

152628 is an abundant number, since it is smaller than the sum of its proper divisors (277452).

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

152628 is a wasteful number, since it uses less digits than its factorization.

152628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

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

The square root of 152628 is about 390.6763366266. The cubic root of 152628 is about 53.4414300656.

The spelling of 152628 in words is "one hundred fifty-two thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 79 84 92 138 158 161 237 276 316 322 474 483 553 644 948 966 1106 1659 1817 1932 2212 3318 3634 5451 6636 7268 10902 12719 21804 25438 38157 50876 76314 152628