Search a number
-
+
1928841696 = 253219352493
BaseRepresentation
bin111001011110111…
…1100100111100000
311222102110022101100
41302331330213200
512422240413241
6515221434400
765540612115
oct16275744740
94872408340
101928841696
118aa865351
12459b6ba00
132497c1562
1414425490c
15b45089b6
hex72f7c9e0

1928841696 has 72 divisors (see below), whose sum is σ = 5773851720. Its totient is φ = 609106176.

The previous prime is 1928841659. The next prime is 1928841727. The reversal of 1928841696 is 6961488291.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

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, 170775 + ... + 181718.

It is an arithmetic number, because the mean of its divisors is an integer number (80192385).

Almost surely, 21928841696 is an apocalyptic number.

1928841696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1928841696 is an abundant number, since it is smaller than the sum of its proper divisors (3845010024).

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

1928841696 is a wasteful number, since it uses less digits than its factorization.

1928841696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352528 (or 352517 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1928841696 is about 43918.5803049233. The cubic root of 1928841696 is about 1244.7979427254.

The spelling of 1928841696 in words is "one billion, nine hundred twenty-eight million, eight hundred forty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 352493 704986 1057479 1409972 2114958 2819944 3172437 4229916 5639888 6344874 6697367 8459832 11279776 12689748 13394734 16919664 20092101 25379496 26789468 33839328 40184202 50758992 53578936 60276303 80368404 101517984 107157872 120552606 160736808 214315744 241105212 321473616 482210424 642947232 964420848 1928841696