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49274904 = 23371943359
BaseRepresentation
bin1011101111111…
…0000000011000
310102201102110110
42323332000120
5100103244104
64520044320
71135554420
oct273760030
9112642413
1049274904
11258a5a68
12146036a0
13a293363
146789480
1544d4e89
hex2efe018

49274904 has 128 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 12991104.

The previous prime is 49274899. The next prime is 49274909. The reversal of 49274904 is 40947294.

It is a happy number.

49274904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49274899) and next prime (49274909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49274909) 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 31 ways as a sum of consecutive naturals, for example, 137077 + ... + 137435.

It is an arithmetic number, because the mean of its divisors is an integer number (1188000).

Almost surely, 249274904 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 49274904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76032000).

49274904 is an abundant number, since it is smaller than the sum of its proper divisors (102789096).

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

49274904 is a wasteful number, since it uses less digits than its factorization.

49274904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 49274904 is about 7019.6085360937. The cubic root of 49274904 is about 366.6136202416.

The spelling of 49274904 in words is "forty-nine million, two hundred seventy-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 43 56 57 76 84 86 114 129 133 152 168 172 228 258 266 301 344 359 399 456 516 532 602 718 798 817 903 1032 1064 1077 1204 1436 1596 1634 1806 2154 2408 2451 2513 2872 3192 3268 3612 4308 4902 5026 5719 6536 6821 7224 7539 8616 9804 10052 11438 13642 15078 15437 17157 19608 20104 20463 22876 27284 30156 30874 34314 40926 45752 46311 47747 54568 60312 61748 68628 81852 92622 95494 108059 123496 137256 143241 163704 185244 190988 216118 286482 293303 324177 370488 381976 432236 572964 586606 648354 864472 879909 1145928 1173212 1296708 1759818 2053121 2346424 2593416 3519636 4106242 6159363 7039272 8212484 12318726 16424968 24637452 49274904