Search a number
-
+
53909376 = 2732947103
BaseRepresentation
bin1100110110100…
…1011110000000
310202102212202120
43031221132000
5102300100001
65203244240
71223136123
oct315513600
9122385676
1053909376
1128480a04
1216079680
13b226951
1472343ba
154aed236
hex3369780

53909376 has 128 divisors (see below), whose sum is σ = 152755200. Its totient is φ = 16816128.

The previous prime is 53909371. The next prime is 53909381. The reversal of 53909376 is 67390935.

It is an interprime number because it is at equal distance from previous prime (53909371) and next prime (53909381).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53909371) 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, 523341 + ... + 523443.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 253909376 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 53909376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76377600).

53909376 is an abundant number, since it is smaller than the sum of its proper divisors (98845824).

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

53909376 is a wasteful number, since it uses less digits than its factorization.

53909376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 53909376 is about 7342.3004569413. The cubic root of 53909376 is about 377.7647538250.

It can be divided in two parts, 53909 and 376, that added together give a triangular number (54285 = T329).

The spelling of 53909376 in words is "fifty-three million, nine hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 47 48 58 64 87 94 96 103 116 128 141 174 188 192 206 232 282 309 348 376 384 412 464 564 618 696 752 824 928 1128 1236 1363 1392 1504 1648 1856 2256 2472 2726 2784 2987 3008 3296 3712 4089 4512 4841 4944 5452 5568 5974 6016 6592 8178 8961 9024 9682 9888 10904 11136 11948 13184 14523 16356 17922 18048 19364 19776 21808 23896 29046 32712 35844 38728 39552 43616 47792 58092 65424 71688 77456 87232 95584 116184 130848 140389 143376 154912 174464 191168 232368 261696 280778 286752 309824 382336 421167 464736 523392 561556 573504 619648 842334 929472 1123112 1147008 1684668 1858944 2246224 3369336 4492448 6738672 8984896 13477344 17969792 26954688 53909376