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476116992 = 21132131987
BaseRepresentation
bin11100011000001…
…111100000000000
31020011220020201200
4130120033200000
51433341220432
6115124501200
714540633121
oct3430174000
91204806650
10476116992
1122483481a
1211354a800
1377842440
144733a048
152bbeba7c
hex1c60f800

476116992 has 144 divisors (see below), whose sum is σ = 1481636520. Its totient is φ = 146423808.

The previous prime is 476116957. The next prime is 476117021. The reversal of 476116992 is 299611674.

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

It is a super-2 number, since 2×4761169922 = 453374780142256128, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

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, 238623 + ... + 240609.

Almost surely, 2476116992 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 476116992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740818260).

476116992 is an abundant number, since it is smaller than the sum of its proper divisors (1005519528).

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

476116992 is a wasteful number, since it uses less digits than its factorization.

476116992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2005 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 476116992 is about 21820.1052243109. The cubic root of 476116992 is about 780.8564950612.

The spelling of 476116992 in words is "four hundred seventy-six million, one hundred sixteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 1987 2048 2304 2496 3072 3328 3744 3974 4608 4992 5961 6144 6656 7488 7948 9216 9984 11922 13312 14976 15896 17883 18432 19968 23844 25831 26624 29952 31792 35766 39936 47688 51662 59904 63584 71532 77493 79872 95376 103324 119808 127168 143064 154986 190752 206648 232479 239616 254336 286128 309972 381504 413296 464958 508672 572256 619944 763008 826592 929916 1017344 1144512 1239888 1526016 1653184 1859832 2034688 2289024 2479776 3052032 3306368 3719664 4069376 4578048 4959552 6104064 6612736 7439328 9156096 9919104 12208128 13225472 14878656 18312192 19838208 26450944 29757312 36624384 39676416 52901888 59514624 79352832 119029248 158705664 238058496 476116992