Search a number
-
+
1931973056 = 26133797647
BaseRepresentation
bin111001100100111…
…1001000111000000
311222122100101210122
41303021321013000
512424041114211
6515412515412
765606333336
oct16311710700
94878311718
101931973056
11901603a52
1245b01bb68
1324a349930
1414482bb56
15b49266db
hex732791c0

1931973056 has 112 divisors (see below), whose sum is σ = 4290584256. Its totient is φ = 857309184.

The previous prime is 1931973053. The next prime is 1931973133. The reversal of 1931973056 is 6503791391.

It is a super-3 number, since 3×19319730563 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1931972998 and 1931973016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1931973053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2985725 + ... + 2986371.

It is an arithmetic number, because the mean of its divisors is an integer number (38308788).

Almost surely, 21931973056 is an apocalyptic number.

1931973056 is a gapful number since it is divisible by the number (16) 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 1931973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145292128).

1931973056 is an abundant number, since it is smaller than the sum of its proper divisors (2358611200).

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

1931973056 is a wasteful number, since it uses less digits than its factorization.

1931973056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 44.

The square root of 1931973056 is about 43954.2154519905. The cubic root of 1931973056 is about 1245.4711970508.

The spelling of 1931973056 in words is "one billion, nine hundred thirty-one million, nine hundred seventy-three thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 97 104 148 194 208 296 388 416 481 592 647 776 832 962 1184 1261 1294 1552 1924 2368 2522 2588 3104 3589 3848 5044 5176 6208 7178 7696 8411 10088 10352 14356 15392 16822 20176 20704 23939 28712 30784 33644 40352 41408 46657 47878 57424 62759 67288 80704 93314 95756 114848 125518 134576 186628 191512 229696 251036 269152 311207 373256 383024 502072 538304 622414 746512 766048 815867 1004144 1244828 1493024 1532096 1631734 2008288 2322083 2489656 2986048 3263468 4016576 4644166 4979312 6526936 9288332 9958624 13053872 18576664 19917248 26107744 30187079 37153328 52215488 60374158 74306656 120748316 148613312 241496632 482993264 965986528 1931973056