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53977344 = 283671049
BaseRepresentation
bin1100110111101…
…0000100000000
310202120022222220
43031322010000
5102304233334
65204531040
71223541231
oct315720400
9122508886
1053977344
1128517a83
12160b0a80
13b24b875
147251088
154b13449
hex337a100

53977344 has 72 divisors (see below), whose sum is σ = 145941600. Its totient is φ = 17707008.

The previous prime is 53977337. The next prime is 53977351. The reversal of 53977344 is 44377935.

It is an interprime number because it is at equal distance from previous prime (53977337) and next prime (53977351).

It is a junction number, because it is equal to n+sod(n) for n = 53977296 and 53977305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50932 + ... + 51980.

Almost surely, 253977344 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 53977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72970800).

53977344 is an abundant number, since it is smaller than the sum of its proper divisors (91964256).

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

53977344 is a wasteful number, since it uses less digits than its factorization.

53977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1121 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 53977344 is about 7346.9275210798. The cubic root of 53977344 is about 377.9234468865.

The spelling of 53977344 in words is "fifty-three million, nine hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1049 1072 1608 2098 2144 3147 3216 4196 4288 6294 6432 8392 8576 12588 12864 16784 17152 25176 25728 33568 50352 51456 67136 70283 100704 134272 140566 201408 210849 268544 281132 402816 421698 562264 805632 843396 1124528 1686792 2249056 3373584 4498112 6747168 8996224 13494336 17992448 26988672 53977344