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55582440 = 23351134099
BaseRepresentation
bin1101010000000…
…1111011101000
310212120212202220
43110001323220
5103212114230
65303154040
71243304634
oct324017350
9125525686
1055582440
1129413a01
1216745920
13b691324
14754bdc4
154d2dd10
hex3501ee8

55582440 has 64 divisors (see below), whose sum is σ = 168264000. Its totient is φ = 14687232.

The previous prime is 55582427. The next prime is 55582447. The reversal of 55582440 is 4428555.

It is not an unprimeable number, because it can be changed into a prime (55582447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11511 + ... + 15609.

It is an arithmetic number, because the mean of its divisors is an integer number (2629125).

Almost surely, 255582440 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 55582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84132000).

55582440 is an abundant number, since it is smaller than the sum of its proper divisors (112681560).

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

55582440 is a wasteful number, since it uses less digits than its factorization.

55582440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 55582440 is about 7455.3631702285. The cubic root of 55582440 is about 381.6329542716.

The spelling of 55582440 in words is "fifty-five million, five hundred eighty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4099 4520 6780 8198 12297 13560 16396 20495 24594 32792 40990 49188 61485 81980 98376 122970 163960 245940 463187 491880 926374 1389561 1852748 2315935 2779122 3705496 4631870 5558244 6947805 9263740 11116488 13895610 18527480 27791220 55582440