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53886976 = 214111323
BaseRepresentation
bin1100110110010…
…0000000000000
310202101202000221
43031210000000
5102243340401
65202552424
71223013613
oct315440000
9122352027
1053886976
11284660a0
1216068714
13b2196b0
14722a17a
154ae67a1
hex3364000

53886976 has 120 divisors (see below), whose sum is σ = 132116544. Its totient is φ = 21626880.

The previous prime is 53886971. The next prime is 53886979. The reversal of 53886976 is 67968835.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53886971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2342901 + ... + 2342923.

Almost surely, 253886976 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 53886976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66058272).

53886976 is an abundant number, since it is smaller than the sum of its proper divisors (78229568).

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

53886976 is a wasteful number, since it uses less digits than its factorization.

53886976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 49 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The square root of 53886976 is about 7340.7748909771. The cubic root of 53886976 is about 377.7124246299.

The spelling of 53886976 in words is "fifty-three million, eight hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 64 88 92 104 128 143 176 184 208 253 256 286 299 352 368 416 506 512 572 598 704 736 832 1012 1024 1144 1196 1408 1472 1664 2024 2048 2288 2392 2816 2944 3289 3328 4048 4096 4576 4784 5632 5888 6578 6656 8096 8192 9152 9568 11264 11776 13156 13312 16192 16384 18304 19136 22528 23552 26312 26624 32384 36608 38272 45056 47104 52624 53248 64768 73216 76544 90112 94208 105248 106496 129536 146432 153088 180224 188416 210496 212992 259072 292864 306176 376832 420992 518144 585728 612352 841984 1036288 1171456 1224704 1683968 2072576 2342912 2449408 3367936 4145152 4898816 6735872 13471744 26943488 53886976