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157502500 = 22542512
BaseRepresentation
bin10010110001101…
…00110000100100
3101222100221210221
421120310300210
5310310040000
623343454124
73621514651
oct1130646044
9358327727
10157502500
11809a6a61
12448b7344
1326827a5c
1416cbcc28
15dc6261a
hex9634c24

157502500 has 45 divisors (see below), whose sum is σ = 345804151. Its totient is φ = 62750000.

The previous prime is 157502497. The next prime is 157502503. The reversal of 157502500 is 5205751.

It is a happy number.

The square root of 157502500 is 12550.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (157502497) and next prime (157502503).

It can be written as a sum of positive squares in 2 ways, for example, as 12348196 + 145154304 = 3514^2 + 12048^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (157502503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 627375 + ... + 627625.

Almost surely, 2157502500 is an apocalyptic number.

157502500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157502500 is the 12550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157502500

157502500 is an abundant number, since it is smaller than the sum of its proper divisors (188301651).

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

157502500 is an frugal number, since it uses more digits than its factorization.

157502500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The cubic root of 157502500 is about 540.0440064731.

Multiplying 157502500 by its sum of digits (25), we get a square (3937562500 = 627502).

157502500 divided by its sum of digits (25) gives a square (6300100 = 25102).

The spelling of 157502500 in words is "one hundred fifty-seven million, five hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 251 500 502 625 1004 1250 1255 2500 2510 5020 6275 12550 25100 31375 62750 63001 125500 126002 156875 252004 313750 315005 627500 630010 1260020 1575025 3150050 6300100 7875125 15750250 31500500 39375625 78751250 157502500