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55934352 = 24321773313
BaseRepresentation
bin1101010101011…
…1110110010000
310220020202111200
43111113312100
5103304344402
65314511200
71246301625
oct325276620
9126222450
1055934352
1129634341
1216895500
13b785566
14760034c
154d9d21c
hex3557d90

55934352 has 120 divisors (see below), whose sum is σ = 168553944. Its totient is φ = 17252352.

The previous prime is 55934341. The next prime is 55934353. The reversal of 55934352 is 25343955.

It can be written as a sum of positive squares in 4 ways, for example, as 2702736 + 53231616 = 1644^2 + 7296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55934353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178548 + ... + 178860.

Almost surely, 255934352 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 55934352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84276972).

55934352 is an abundant number, since it is smaller than the sum of its proper divisors (112619592).

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

55934352 is a wasteful number, since it uses less digits than its factorization.

55934352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 81000, while the sum is 36.

The square root of 55934352 is about 7478.9271957949. The cubic root of 55934352 is about 382.4366779709.

The spelling of 55934352 in words is "fifty-five million, nine hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 73 102 136 144 146 153 204 219 272 292 306 313 408 438 584 612 626 657 816 876 939 1168 1224 1241 1252 1314 1752 1878 2448 2482 2504 2628 2817 3504 3723 3756 4964 5008 5256 5321 5634 7446 7512 9928 10512 10642 11169 11268 14892 15024 15963 19856 21284 22338 22536 22849 29784 31926 42568 44676 45072 45698 47889 59568 63852 68547 85136 89352 91396 95778 127704 137094 178704 182792 191556 205641 255408 274188 365584 383112 388433 411282 548376 766224 776866 822564 1096752 1165299 1553732 1645128 2330598 3107464 3290256 3495897 4661196 6214928 6991794 9322392 13983588 18644784 27967176 55934352