Search a number
-
+
53740848 = 2437273313
BaseRepresentation
bin1100110100000…
…0010100110000
310202010022120210
43031000110300
5102224201343
65155504120
71221534600
oct315002460
9122108523
1053740848
1128376327
1215bb8040
13b198025
1471ccc00
154ab8333
hex3340530

53740848 has 120 divisors (see below), whose sum is σ = 164232048. Its totient is φ = 15095808.

The previous prime is 53740847. The next prime is 53740849. The reversal of 53740848 is 84804735.

It is an interprime number because it is at equal distance from previous prime (53740847) and next prime (53740849).

It is not an unprimeable number, because it can be changed into a prime (53740847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171540 + ... + 171852.

Almost surely, 253740848 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 53740848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82116024).

53740848 is an abundant number, since it is smaller than the sum of its proper divisors (110491200).

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

53740848 is a wasteful number, since it uses less digits than its factorization.

53740848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 53740848 is about 7330.8149615169. The cubic root of 53740848 is about 377.3706950093.

It can be divided in two parts, 537 and 40848, that multiplied together give a triangular number (21935376 = T6623).

The spelling of 53740848 in words is "fifty-three million, seven hundred forty thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 73 84 98 112 146 147 168 196 219 292 294 313 336 392 438 511 584 588 626 784 876 939 1022 1168 1176 1252 1533 1752 1878 2044 2191 2352 2504 3066 3504 3577 3756 4088 4382 5008 6132 6573 7154 7512 8176 8764 10731 12264 13146 14308 15024 15337 17528 21462 22849 24528 26292 28616 30674 35056 42924 45698 46011 52584 57232 61348 68547 85848 91396 92022 105168 122696 137094 159943 171696 182792 184044 245392 274188 319886 365584 368088 479829 548376 639772 736176 959658 1096752 1119601 1279544 1919316 2239202 2559088 3358803 3838632 4478404 6717606 7677264 8956808 13435212 17913616 26870424 53740848