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157016484 = 22324361569
BaseRepresentation
bin10010101101111…
…10000110100100
3101221110021010100
421112332012210
5310144011414
623325224100
73614422002
oct1126760644
9357407110
10157016484
11806a4899
1244702030
13266b7781
1416bd3a72
15dbb8609
hex95be1a4

157016484 has 18 divisors (see below), whose sum is σ = 396902870. Its totient is φ = 52338816.

The previous prime is 157016449. The next prime is 157016491. The reversal of 157016484 is 484610751.

It is a happy number.

157016484 is a `hidden beast` number, since 1 + 5 + 7 + 0 + 1 + 648 + 4 = 666.

157016484 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 153512100 + 3504384 = 12390^2 + 1872^2 .

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

It is a super-3 number, since 3×1570164843 (a number of 26 digits) contains 333 as substring.

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: 4361569 = 157016484 / (1 + 5 + 7 + 0 + 1 + 6 + 4 + 8 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2180749 + ... + 2180820.

Almost surely, 2157016484 is an apocalyptic number.

It is an amenable number.

157016484 is an abundant number, since it is smaller than the sum of its proper divisors (239886386).

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

157016484 is a wasteful number, since it uses less digits than its factorization.

157016484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361579 (or 4361574 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 157016484 is about 12530.6218520870. The cubic root of 157016484 is about 539.4879508224.

The spelling of 157016484 in words is "one hundred fifty-seven million, sixteen thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4361569 8723138 13084707 17446276 26169414 39254121 52338828 78508242 157016484