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4676048928 = 2532311373823
BaseRepresentation
bin1000101101011011…
…01101100000100000
3110001212210220020100
410112231231200200
534034032031203
62051555542400
7223606521465
oct42655554040
913055726210
104676048928
111a8a564851
12aa5bbaa00
135969c6175
1432505566c
151c57b5ea3
hex116b6d820

4676048928 has 144 divisors (see below), whose sum is σ = 13830276096. Its totient is φ = 1497000960.

The previous prime is 4676048891. The next prime is 4676048939. The reversal of 4676048928 is 8298406764.

4676048928 is a `hidden beast` number, since 4 + 6 + 7 + 604 + 8 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1221225 + ... + 1225047.

It is an arithmetic number, because the mean of its divisors is an integer number (96043584).

Almost surely, 24676048928 is an apocalyptic number.

4676048928 is a gapful number since it is divisible by the number (48) 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 4676048928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915138048).

4676048928 is an abundant number, since it is smaller than the sum of its proper divisors (9154227168).

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

4676048928 is a wasteful number, since it uses less digits than its factorization.

4676048928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 4676048928 is about 68381.6417468899. The cubic root of 4676048928 is about 1672.2184684349.

The spelling of 4676048928 in words is "four billion, six hundred seventy-six million, forty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 137 144 186 248 274 279 288 372 411 496 548 558 744 822 992 1096 1116 1233 1488 1644 2192 2232 2466 2976 3288 3823 4247 4384 4464 4932 6576 7646 8494 8928 9864 11469 12741 13152 15292 16988 19728 22938 25482 30584 33976 34407 38223 39456 45876 50964 61168 67952 68814 76446 91752 101928 118513 122336 135904 137628 152892 183504 203856 237026 275256 305784 355539 367008 407712 474052 523751 550512 611568 711078 948104 1047502 1066617 1101024 1223136 1422156 1571253 1896208 2095004 2133234 2844312 3142506 3792416 4190008 4266468 4713759 5688624 6285012 8380016 8532936 9427518 11377248 12570024 16236281 16760032 17065872 18855036 25140048 32472562 34131744 37710072 48708843 50280096 64945124 75420144 97417686 129890248 146126529 150840288 194835372 259780496 292253058 389670744 519560992 584506116 779341488 1169012232 1558682976 2338024464 4676048928