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157749216 = 2531643221
BaseRepresentation
bin10010110011100…
…00111111100000
3101222211111020120
421121300333200
5310340433331
623353040240
73623563152
oct1131607740
9358744216
10157749216
1181055359
12449b6080
13268b3141
1416d44ad2
15dcb0796
hex9670fe0

157749216 has 24 divisors (see below), whose sum is σ = 414091944. Its totient is φ = 52583040.

The previous prime is 157749211. The next prime is 157749223. The reversal of 157749216 is 612947751.

It is a happy number.

157749216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1577492162 = 49769630297229312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157749211) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 821515 + ... + 821706.

It is an arithmetic number, because the mean of its divisors is an integer number (17253831).

Almost surely, 2157749216 is an apocalyptic number.

157749216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

157749216 is an abundant number, since it is smaller than the sum of its proper divisors (256342728).

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

157749216 is a wasteful number, since it uses less digits than its factorization.

157749216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643234 (or 1643226 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 157749216 is about 12559.8254764945. The cubic root of 157749216 is about 540.3258390127.

The spelling of 157749216 in words is "one hundred fifty-seven million, seven hundred forty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1643221 3286442 4929663 6572884 9859326 13145768 19718652 26291536 39437304 52583072 78874608 157749216