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49754032224 = 25313325112263
BaseRepresentation
bin101110010101100100…
…100100100001100000
311202102102222201021020
4232111210210201200
51303344013012344
634505013325440
73410644203351
oct562544444140
9152372881236
1049754032224
111a1119438a6
129786636880
1348cbb0c770
14259dbc3d28
151462eaa719
hexb95924860

49754032224 has 96 divisors (see below), whose sum is σ = 140705558784. Its totient is φ = 15302976000.

The previous prime is 49754032219. The next prime is 49754032247. The reversal of 49754032224 is 42223045794.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4051117 + ... + 4063379.

It is an arithmetic number, because the mean of its divisors is an integer number (1465682904).

Almost surely, 249754032224 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 49754032224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70352779392).

49754032224 is an abundant number, since it is smaller than the sum of its proper divisors (90951526560).

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

49754032224 is a wasteful number, since it uses less digits than its factorization.

49754032224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15540 (or 15532 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 49754032224 in words is "forty-nine billion, seven hundred fifty-four million, thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 3251 6502 9753 12263 13004 19506 24526 26008 36789 39012 42263 49052 52016 73578 78024 84526 98104 104032 126789 147156 156048 159419 169052 196208 253578 294312 312096 318838 338104 392416 478257 507156 588624 637676 676208 956514 1014312 1177248 1275352 1352416 1913028 2028624 2550704 3826056 4057248 5101408 7652112 15304224 39867013 79734026 119601039 159468052 239202078 318936104 478404156 518271169 637872208 956808312 1036542338 1275744416 1554813507 1913616624 2073084676 3109627014 3827233248 4146169352 6219254028 8292338704 12438508056 16584677408 24877016112 49754032224