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55649328 = 24371923379
BaseRepresentation
bin1101010001001…
…0010000110000
310212201021112020
43110102100300
5103221234303
65304431440
71244003640
oct324222060
9125637466
1055649328
112945a189
1216778580
13b6b58c7
147568520
154d43a53
hex3512430

55649328 has 160 divisors (see below), whose sum is σ = 180940800. Its totient is φ = 14370048.

The previous prime is 55649327. The next prime is 55649339. The reversal of 55649328 is 82394655.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 55649328.

It is not an unprimeable number, because it can be changed into a prime (55649323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146643 + ... + 147021.

It is an arithmetic number, because the mean of its divisors is an integer number (1130880).

Almost surely, 255649328 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 55649328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90470400).

55649328 is an abundant number, since it is smaller than the sum of its proper divisors (125291472).

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

55649328 is a wasteful number, since it uses less digits than its factorization.

55649328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 55649328 is about 7459.8477196254. The cubic root of 55649328 is about 381.7859788136.

The spelling of 55649328 in words is "fifty-five million, six hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 23 24 28 38 42 46 48 56 57 69 76 84 92 112 114 133 138 152 161 168 184 228 266 276 304 322 336 368 379 399 437 456 483 532 552 644 758 798 874 912 966 1064 1104 1137 1288 1311 1516 1596 1748 1932 2128 2274 2576 2622 2653 3032 3059 3192 3496 3864 4548 5244 5306 6064 6118 6384 6992 7201 7728 7959 8717 9096 9177 10488 10612 12236 14402 15918 17434 18192 18354 20976 21224 21603 24472 26151 28804 31836 34868 36708 42448 43206 48944 50407 52302 57608 61019 63672 69736 73416 86412 100814 104604 115216 122038 127344 139472 146832 151221 165623 172824 183057 201628 209208 244076 302442 331246 345648 366114 403256 418416 488152 496869 604884 662492 732228 806512 976304 993738 1159361 1209768 1324984 1464456 1987476 2318722 2419536 2649968 2928912 3478083 3974952 4637444 6956166 7949904 9274888 13912332 18549776 27824664 55649328