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49955004 = 2232111011249
BaseRepresentation
bin1011111010010…
…0000010111100
310110222222101100
42332210002330
5100242030004
64542413100
71144416261
oct276440274
9113888340
1049955004
112621aa30
1214891190
13a470a98
1468c5268
1545bb739
hex2fa40bc

49955004 has 72 divisors (see below), whose sum is σ = 139230000. Its totient is φ = 14976000.

The previous prime is 49954973. The next prime is 49955021. The reversal of 49955004 is 40055994.

49955004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49955004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 39372 + ... + 40620.

It is an arithmetic number, because the mean of its divisors is an integer number (1933750).

Almost surely, 249955004 is an apocalyptic number.

49955004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49955004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69615000).

49955004 is an abundant number, since it is smaller than the sum of its proper divisors (89274996).

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

49955004 is a wasteful number, since it uses less digits than its factorization.

49955004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 49955004 is about 7067.8853980522. The cubic root of 49955004 is about 368.2926055762.

It can be divided in two parts, 4995 and 5004, that added together give a palindrome (9999).

The spelling of 49955004 in words is "forty-nine million, nine hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 101 132 198 202 303 396 404 606 909 1111 1212 1249 1818 2222 2498 3333 3636 3747 4444 4996 6666 7494 9999 11241 13332 13739 14988 19998 22482 27478 39996 41217 44964 54956 82434 123651 126149 164868 247302 252298 378447 494604 504596 756894 1135341 1387639 1513788 2270682 2775278 4162917 4541364 5550556 8325834 12488751 16651668 24977502 49955004