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157048200 = 233352127229
BaseRepresentation
bin10010101110001…
…01110110001000
3101221111212122000
421113011312020
5310201020300
623330031000
73614613321
oct1127056610
9357455560
10157048200
1180716701
1244718460
13266c903a
1416c01448
15dbc2c00
hex95c5d88

157048200 has 192 divisors, whose sum is σ = 547584000. Its totient is φ = 41368320.

The previous prime is 157048123. The next prime is 157048207. The reversal of 157048200 is 2840751.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (157048207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 685686 + ... + 685914.

It is an arithmetic number, because the mean of its divisors is an integer number (2852000).

Almost surely, 2157048200 is an apocalyptic number.

157048200 is a gapful number since it is divisible by the number (10) 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 157048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273792000).

157048200 is an abundant number, since it is smaller than the sum of its proper divisors (390535800).

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

157048200 is a wasteful number, since it uses less digits than its factorization.

157048200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 157048200 is about 12531.8873279327. The cubic root of 157048200 is about 539.5242723760.

Adding to 157048200 its reverse (2840751), we get a palindrome (159888951).

It can be divided in two parts, 1570 and 48200, that added together give a triangular number (49770 = T315).

The spelling of 157048200 in words is "one hundred fifty-seven million, forty-eight thousand, two hundred".