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53980576 = 2513172449
BaseRepresentation
bin1100110111101…
…0110110100000
310202120111102121
43031322312200
5102304334301
65204554024
71223553526
oct315726640
9122514377
1053980576
112851a451
12160b2914
13b250190
147252316
154b143a1
hex337ada0

53980576 has 72 divisors (see below), whose sum is σ = 121848300. Its totient is φ = 23396352.

The previous prime is 53980573. The next prime is 53980601. The reversal of 53980576 is 67508935.

It can be written as a sum of positive squares in 6 ways, for example, as 35283600 + 18696976 = 5940^2 + 4324^2 .

It is not an unprimeable number, because it can be changed into a prime (53980573) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120000 + ... + 120448.

Almost surely, 253980576 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 53980576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60924150).

53980576 is an abundant number, since it is smaller than the sum of its proper divisors (67867724).

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

53980576 is a wasteful number, since it uses less digits than its factorization.

53980576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 53980576 is about 7347.1474736798. The cubic root of 53980576 is about 377.9309897067.

The spelling of 53980576 in words is "fifty-three million, nine hundred eighty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 289 416 442 449 544 578 884 898 1156 1768 1796 2312 3536 3592 3757 4624 5837 7072 7184 7514 7633 9248 11674 14368 15028 15266 23348 30056 30532 46696 60112 61064 93392 99229 120224 122128 129761 186784 198458 244256 259522 396916 519044 793832 1038088 1587664 1686893 2076176 3175328 3373786 4152352 6747572 13495144 26990288 53980576