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49924692 = 22323721013
BaseRepresentation
bin1011111001110…
…0101001010100
310110221102210200
42332130221110
5100240042232
64542020500
71144232016
oct276345124
9113842720
1049924692
11261aa184
1214877730
13a46004c
1468b81b6
1545b277c
hex2f9ca54

49924692 has 54 divisors (see below), whose sum is σ = 129829518. Its totient is φ = 16175808.

The previous prime is 49924691. The next prime is 49924709. The reversal of 49924692 is 29642994.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10536516 + 39388176 = 3246^2 + 6276^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49924691) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48778 + ... + 49790.

Almost surely, 249924692 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 49924692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64914759).

49924692 is an abundant number, since it is smaller than the sum of its proper divisors (79904826).

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

49924692 is a wasteful number, since it uses less digits than its factorization.

49924692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1055 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 49924692 is about 7065.7407255008. The cubic root of 49924692 is about 368.2180988981.

The spelling of 49924692 in words is "forty-nine million, nine hundred twenty-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1013 1332 1369 2026 2738 3039 4052 4107 5476 6078 8214 9117 12156 12321 16428 18234 24642 36468 37481 49284 74962 112443 149924 224886 337329 449772 674658 1349316 1386797 2773594 4160391 5547188 8320782 12481173 16641564 24962346 49924692