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481679136 = 2534185833
BaseRepresentation
bin11100101101011…
…101011100100000
31020120100211120000
4130231131130200
51441302213021
6115444020000
714636130231
oct3455353440
91216324500
10481679136
11227993734
12115391600
1378a3c053
1447d87088
152c449b26
hex1cb5d720

481679136 has 60 divisors (see below), whose sum is σ = 1416612582. Its totient is φ = 160558848.

The previous prime is 481679113. The next prime is 481679137. The reversal of 481679136 is 631976184.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 413715600 + 67963536 = 20340^2 + 8244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 481679091 and 481679100.

It is not an unprimeable number, because it can be changed into a prime (481679137) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 90325 + ... + 95508.

Almost surely, 2481679136 is an apocalyptic number.

It is an amenable number.

481679136 is an abundant number, since it is smaller than the sum of its proper divisors (934933446).

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

481679136 is a wasteful number, since it uses less digits than its factorization.

481679136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185855 (or 185838 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 481679136 is about 21947.1897062016. The cubic root of 481679136 is about 783.8854650121.

The spelling of 481679136 in words is "four hundred eighty-one million, six hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 185833 371666 557499 743332 1114998 1486664 1672497 2229996 2973328 3344994 4459992 5017491 5946656 6689988 8919984 10034982 13379976 15052473 17839968 20069964 26759952 30104946 40139928 53519904 60209892 80279856 120419784 160559712 240839568 481679136