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157282848 = 25327392
BaseRepresentation
bin10010101111111…
…11001000100000
3101221221210111200
421113333020200
5310231022343
623335041200
73616611402
oct1127771040
9357853450
10157282848
1180866a28
1244810200
132677ba98
1416c62b72
15dc1c4d3
hex95ff220

157282848 has 54 divisors (see below), whose sum is σ = 447879159. Its totient is φ = 52356672.

The previous prime is 157282843. The next prime is 157282859. The reversal of 157282848 is 848282751.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

157282848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 78641424 + 78641424 = 8868^2 + 8868^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8868.

It is a super-2 number, since 2×1572828482 = 49475788549982208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (157282843) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 212463 + ... + 213201.

Almost surely, 2157282848 is an apocalyptic number.

157282848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157282848

157282848 is an abundant number, since it is smaller than the sum of its proper divisors (290596311).

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

157282848 is an frugal number, since it uses more digits than its factorization.

157282848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1494 (or 744 counting only the distinct ones).

The product of its digits is 286720, while the sum is 45.

The square root of 157282848 is about 12541.2458711246. The cubic root of 157282848 is about 539.7928423500.

The spelling of 157282848 in words is "one hundred fifty-seven million, two hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 739 1478 2217 2956 4434 5912 6651 8868 11824 13302 17736 23648 26604 35472 53208 70944 106416 212832 546121 1092242 1638363 2184484 3276726 4368968 4915089 6553452 8737936 9830178 13106904 17475872 19660356 26213808 39320712 52427616 78641424 157282848