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49435164 = 2233479739
BaseRepresentation
bin1011110010010…
…1001000011100
310110000120022000
42330211020130
5100123411124
64523322300
71140122562
oct274451034
9113016260
1049435164
11259a5409
1214680390
13a31b29c
1467cba32
1545176c9
hex2f2521c

49435164 has 48 divisors (see below), whose sum is σ = 130905600. Its totient is φ = 16126128.

The previous prime is 49435163. The next prime is 49435189. The reversal of 49435164 is 46153494.

49435164 is a `hidden beast` number, since 494 + 3 + 5 + 164 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49435163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207 + ... + 9945.

It is an arithmetic number, because the mean of its divisors is an integer number (2727200).

Almost surely, 249435164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49435164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65452800).

49435164 is an abundant number, since it is smaller than the sum of its proper divisors (81470436).

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

49435164 is a wasteful number, since it uses less digits than its factorization.

49435164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9799 (or 9791 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 49435164 is about 7031.0144360540. The cubic root of 49435164 is about 367.0106439656.

The spelling of 49435164 in words is "forty-nine million, four hundred thirty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 9739 19478 29217 38956 58434 87651 116868 175302 262953 350604 457733 525906 915466 1051812 1373199 1830932 2746398 4119597 5492796 8239194 12358791 16478388 24717582 49435164