Search a number
-
+
53938944 = 283241571
BaseRepresentation
bin1100110111000…
…0101100000000
310202111101022200
43031300230000
5102302021234
65204033200
71223321253
oct315605400
9122441280
1053938944
11284a1144
1216092800
13b237247
14724109a
154b06d99
hex3370b00

53938944 has 108 divisors (see below), whose sum is σ = 159591432. Its totient is φ = 17510400.

The previous prime is 53938877. The next prime is 53938957. The reversal of 53938944 is 44983935.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 53938944.

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, 94179 + ... + 94749.

Almost surely, 253938944 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 53938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79795716).

53938944 is an abundant number, since it is smaller than the sum of its proper divisors (105652488).

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

53938944 is a wasteful number, since it uses less digits than its factorization.

53938944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 53938944 is about 7344.3137187895. The cubic root of 53938944 is about 377.8338061716.

The spelling of 53938944 in words is "fifty-three million, nine hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 571 576 656 738 768 984 1142 1152 1312 1476 1713 1968 2284 2304 2624 2952 3426 3936 4568 5139 5248 5904 6852 7872 9136 10278 10496 11808 13704 15744 18272 20556 23411 23616 27408 31488 36544 41112 46822 47232 54816 70233 73088 82224 93644 94464 109632 140466 146176 164448 187288 210699 219264 280932 328896 374576 421398 438528 561864 657792 749152 842796 1123728 1315584 1498304 1685592 2247456 2996608 3371184 4494912 5993216 6742368 8989824 13484736 17979648 26969472 53938944