Search a number
-
+
536662672 = 247131971871
BaseRepresentation
bin11111111111001…
…101001010010000
31101101211021210021
4133333031022100
52044341201142
6125130313224
716204362130
oct3777151220
91341737707
10536662672
11255a28677
1212b888814
13872508a0
14513baac0
15321ab267
hex1ffcd290

536662672 has 80 divisors (see below), whose sum is σ = 1286917632. Its totient is φ = 211115520.

The previous prime is 536662627. The next prime is 536662691. The reversal of 536662672 is 276266635.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285897 + ... + 287767.

Almost surely, 2536662672 is an apocalyptic number.

536662672 is a gapful number since it is divisible by the number (52) 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 536662672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

536662672 is an abundant number, since it is smaller than the sum of its proper divisors (750254960).

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

536662672 is a wasteful number, since it uses less digits than its factorization.

536662672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2090 counting only the distinct ones).

The product of its digits is 544320, while the sum is 43.

The square root of 536662672 is about 23165.9809203064. The cubic root of 536662672 is about 812.6442426988.

The spelling of 536662672 in words is "five hundred thirty-six million, six hundred sixty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 197 208 364 394 728 788 1379 1456 1576 1871 2561 2758 3152 3742 5122 5516 7484 10244 11032 13097 14968 17927 20488 22064 24323 26194 29936 35854 40976 48646 52388 71708 97292 104776 143416 170261 194584 209552 286832 340522 368587 389168 681044 737174 1362088 1474348 2580109 2724176 2948696 4791631 5160218 5897392 9583262 10320436 19166524 20640872 33541417 38333048 41281744 67082834 76666096 134165668 268331336 536662672