Search a number
-
+
4975463424 = 21031985243
BaseRepresentation
bin1001010001000111…
…11000110000000000
3110211202012201201010
410220203320300000
540142204312144
62141413240520
7234203512161
oct45043706000
913752181633
104975463424
112123579348
12b6a333140
13613a4a5c9
14352b15768
151e1c0b5b9
hex1288f8c00

4975463424 has 88 divisors (see below), whose sum is σ = 13959557440. Its totient is φ = 1571180544.

The previous prime is 4975463417. The next prime is 4975463459. The reversal of 4975463424 is 4243645794.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15747 + ... + 100989.

Almost surely, 24975463424 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 4975463424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979778720).

4975463424 is an abundant number, since it is smaller than the sum of its proper divisors (8984094016).

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

4975463424 is a wasteful number, since it uses less digits than its factorization.

4975463424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85285 (or 85267 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The square root of 4975463424 is about 70536.9649474657. The cubic root of 4975463424 is about 1707.1742283767.

The spelling of 4975463424 in words is "four billion, nine hundred seventy-five million, four hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2432 3072 3648 4864 7296 9728 14592 19456 29184 58368 85243 170486 255729 340972 511458 681944 1022916 1363888 1619617 2045832 2727776 3239234 4091664 4858851 5455552 6478468 8183328 9717702 10911104 12956936 16366656 19435404 21822208 25913872 32733312 38870808 43644416 51827744 65466624 77741616 87288832 103655488 130933248 155483232 207310976 261866496 310966464 414621952 621932928 829243904 1243865856 1658487808 2487731712 4975463424