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49973976 = 2333132372
BaseRepresentation
bin1011111010100…
…0101011011000
310111000221102000
42332220223120
5100243131401
64543041000
71144525503
oct276505330
9114027360
1049973976
1126233208
12148a0160
13a479600
1468cc13a
1545c2186
hex2fa8ad8

49973976 has 144 divisors (see below), whose sum is σ = 154488600. Its totient is φ = 14961024.

The previous prime is 49973969. The next prime is 49973977. The reversal of 49973976 is 67937994.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49973977) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1350630 + ... + 1350666.

Almost surely, 249973976 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 49973976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77244300).

49973976 is an abundant number, since it is smaller than the sum of its proper divisors (104514624).

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

49973976 is a wasteful number, since it uses less digits than its factorization.

49973976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 55 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The square root of 49973976 is about 7069.2273976723. The cubic root of 49973976 is about 368.3392232814.

Multiplying 49973976 by its sum of digits (54), we get a square (2698594704 = 519482).

49973976 divided by its sum of digits (54) gives a square (925444 = 9622).

The spelling of 49973976 in words is "forty-nine million, nine hundred seventy-three thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 104 108 111 117 148 156 169 216 222 234 296 312 333 338 351 444 468 481 507 666 676 702 888 936 962 999 1014 1332 1352 1369 1404 1443 1521 1924 1998 2028 2664 2738 2808 2886 3042 3848 3996 4056 4107 4329 4563 5476 5772 6084 6253 7992 8214 8658 9126 10952 11544 12168 12321 12506 12987 16428 17316 17797 18252 18759 24642 25012 25974 32856 34632 35594 36504 36963 37518 49284 50024 51948 53391 56277 71188 73926 75036 98568 103896 106782 112554 142376 147852 150072 160173 168831 213564 225108 231361 295704 320346 337662 427128 450216 462722 480519 640692 675324 694083 925444 961038 1281384 1350648 1388166 1850888 1922076 2082249 2776332 3844152 4164498 5552664 6246747 8328996 12493494 16657992 24986988 49973976