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49992444 = 22331773373
BaseRepresentation
bin1011111010110…
…1001011111100
310111001212202000
42332231023330
5100244224234
64543302300
71144633365
oct276551374
9114055660
1049992444
1126246077
12148aa990
13a484b38
1468d4b6c
1545c7899
hex2fad2fc

49992444 has 96 divisors (see below), whose sum is σ = 139487040. Its totient is φ = 15427584.

The previous prime is 49992413. The next prime is 49992469. The reversal of 49992444 is 44429994.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49992444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133842 + ... + 134214.

It is an arithmetic number, because the mean of its divisors is an integer number (1452990).

Almost surely, 249992444 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 49992444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69743520).

49992444 is an abundant number, since it is smaller than the sum of its proper divisors (89494596).

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

49992444 is a wasteful number, since it uses less digits than its factorization.

49992444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 49992444 is about 7070.5335017946. The cubic root of 49992444 is about 368.3845912345.

The spelling of 49992444 in words is "forty-nine million, nine hundred ninety-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 73 102 108 146 153 204 219 292 306 373 438 459 612 657 746 876 918 1119 1241 1314 1492 1836 1971 2238 2482 2628 3357 3723 3942 4476 4964 6341 6714 7446 7884 10071 11169 12682 13428 14892 19023 20142 22338 25364 27229 33507 38046 40284 44676 54458 57069 67014 76092 81687 108916 114138 134028 163374 171207 228276 245061 326748 342414 462893 490122 684828 735183 925786 980244 1388679 1470366 1851572 2777358 2940732 4166037 5554716 8332074 12498111 16664148 24996222 49992444