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157505652 = 22324375157
BaseRepresentation
bin10010110001101…
…01100001110100
3101222101010010200
421120311201310
5310310140102
623343520500
73621530103
oct1130654164
9358333120
10157505652
11809a9367
12448b9130
1326829315
1416cc003a
15dc6351c
hex9635874

157505652 has 18 divisors (see below), whose sum is σ = 398139378. Its totient is φ = 52501872.

The previous prime is 157505651. The next prime is 157505653. The reversal of 157505652 is 256505751.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (157505651) and next prime (157505653).

It can be written as a sum of positive squares in only one way, i.e., 157101156 + 404496 = 12534^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4375157 = 157505652 / (1 + 5 + 7 + 5 + 0 + 5 + 6 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157505651) 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 5 ways as a sum of consecutive naturals, for example, 2187543 + ... + 2187614.

Almost surely, 2157505652 is an apocalyptic number.

157505652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

157505652 is an abundant number, since it is smaller than the sum of its proper divisors (240633726).

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

157505652 is a wasteful number, since it uses less digits than its factorization.

157505652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375167 (or 4375162 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The square root of 157505652 is about 12550.1255770610. The cubic root of 157505652 is about 540.0476089712.

Subtracting 157505652 from its reverse (256505751), we obtain a palindrome (99000099).

The spelling of 157505652 in words is "one hundred fifty-seven million, five hundred five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4375157 8750314 13125471 17500628 26250942 39376413 52501884 78752826 157505652