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157027248 = 2434719911
BaseRepresentation
bin10010101110000…
…00101110110000
3101221110210220000
421113000232300
5310144332443
623325350000
73614465250
oct1127005660
9357423800
10157027248
1180701994
1244708300
13266bc641
1416bd7960
15dbbb8d3
hex95c0bb0

157027248 has 200 divisors, whose sum is σ = 547345920. Its totient is φ = 42456960.

The previous prime is 157027243. The next prime is 157027259. The reversal of 157027248 is 842720751.

It is a super-2 number, since 2×1570272482 = 49315113228907008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (157027243) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171913 + ... + 172823.

Almost surely, 2157027248 is an apocalyptic number.

157027248 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 157027248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273672960).

157027248 is an abundant number, since it is smaller than the sum of its proper divisors (390318672).

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

157027248 is a wasteful number, since it uses less digits than its factorization.

157027248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 157027248 is about 12531.0513525402. The cubic root of 157027248 is about 539.5002784359.

Adding to 157027248 its reverse (842720751), we get a palindrome (999747999).

The spelling of 157027248 in words is "one hundred fifty-seven million, twenty-seven thousand, two hundred forty-eight".