Search a number
-
+
48099456 = 273243971
BaseRepresentation
bin1011011101111…
…1000010000000
310100111201001100
42313133002000
544303140311
64434534400
71122560436
oct267370200
9110451040
1048099456
1125172919
1214137400
139c71322
146560d56
154351a56
hex2ddf080

48099456 has 96 divisors (see below), whose sum is σ = 141775920. Its totient is φ = 15644160.

The previous prime is 48099449. The next prime is 48099473. The reversal of 48099456 is 65499084.

It is a happy number.

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

It is a super-3 number, since 3×480994563 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49051 + ... + 50021.

Almost surely, 248099456 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 48099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70887960).

48099456 is an abundant number, since it is smaller than the sum of its proper divisors (93676464).

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

48099456 is a wasteful number, since it uses less digits than its factorization.

48099456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 48099456 is about 6935.3771346625. The cubic root of 48099456 is about 363.6749503295.

The spelling of 48099456 in words is "forty-eight million, ninety-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 258 288 344 384 387 516 576 688 774 971 1032 1152 1376 1548 1942 2064 2752 2913 3096 3884 4128 5504 5826 6192 7768 8256 8739 11652 12384 15536 16512 17478 23304 24768 31072 34956 41753 46608 49536 62144 69912 83506 93216 124288 125259 139824 167012 186432 250518 279648 334024 372864 375777 501036 559296 668048 751554 1002072 1118592 1336096 1503108 2004144 2672192 3006216 4008288 5344384 6012432 8016576 12024864 16033152 24049728 48099456