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55899648 = 293271733
BaseRepresentation
bin1101010100111…
…1011000000000
310220011222220100
43111033120000
5103302242043
65314042400
71246065510
oct325173000
9126158810
1055899648
1129610262
1216879400
13b77281c
1475d1840
154d92cd3
hex354f600

55899648 has 120 divisors (see below), whose sum is σ = 184483728. Its totient is φ = 15962112.

The previous prime is 55899647. The next prime is 55899667. The reversal of 55899648 is 84699855.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 55899594 and 55899603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55899643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31390 + ... + 33122.

Almost surely, 255899648 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 55899648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92241864).

55899648 is an abundant number, since it is smaller than the sum of its proper divisors (128584080).

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

55899648 is a wasteful number, since it uses less digits than its factorization.

55899648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1745 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 55899648 is about 7476.6067169539. The cubic root of 55899648 is about 382.3575683970.

The spelling of 55899648 in words is "fifty-five million, eight hundred ninety-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1152 1344 1536 1733 1792 2016 2304 2688 3466 3584 4032 4608 5199 5376 6932 8064 10398 10752 12131 13864 15597 16128 20796 24262 27728 31194 32256 36393 41592 48524 55456 62388 72786 83184 97048 109179 110912 124776 145572 166368 194096 218358 221824 249552 291144 332736 388192 436716 443648 499104 582288 665472 776384 873432 887296 998208 1164576 1330944 1552768 1746864 1996416 2329152 2661888 3105536 3493728 3992832 4658304 6211072 6987456 7985664 9316608 13974912 18633216 27949824 55899648