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49276416 = 29374583
BaseRepresentation
bin1011101111111…
…0011000000000
310102201111112110
42323332120000
5100103321131
64520055320
71135562010
oct273763000
9112644473
1049276416
11258a7112
1214604540
13a293c57
146789c40
1544d5646
hex2efe600

49276416 has 80 divisors (see below), whose sum is σ = 150061824. Its totient is φ = 14075904.

The previous prime is 49276411. The next prime is 49276427. The reversal of 49276416 is 61467294.

It is a happy number.

49276416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×492764164 (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49276411) 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 7 ways as a sum of consecutive naturals, for example, 8461 + ... + 13043.

Almost surely, 249276416 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 49276416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75030912).

49276416 is an abundant number, since it is smaller than the sum of its proper divisors (100785408).

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

49276416 is an equidigital number, since it uses as much as digits as its factorization.

49276416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4595 counting only the distinct ones).

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

The square root of 49276416 is about 7019.7162335810. The cubic root of 49276416 is about 366.6173700484.

The spelling of 49276416 in words is "forty-nine million, two hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 4583 5376 9166 10752 13749 18332 27498 32081 36664 54996 64162 73328 96243 109992 128324 146656 192486 219984 256648 293312 384972 439968 513296 586624 769944 879936 1026592 1173248 1539888 1759872 2053184 2346496 3079776 3519744 4106368 6159552 7039488 8212736 12319104 16425472 24638208 49276416