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55294944 = 2532379317
BaseRepresentation
bin1101001011101…
…1101111100000
310212001021101220
43102323233200
5103123414234
65253055040
71240666515
oct322735740
9125037356
1055294944
1129237a01
1216627480
13b5c0503
1474b530c
154cc3a49
hex34bbbe0

55294944 has 96 divisors (see below), whose sum is σ = 153861120. Its totient is φ = 17352192.

The previous prime is 55294927. The next prime is 55294949. The reversal of 55294944 is 44949255.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (259200) is a multiple of the sum of its prime factors (432).

It is a junction number, because it is equal to n+sod(n) for n = 55294896 and 55294905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55294949) 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, 174274 + ... + 174590.

It is an arithmetic number, because the mean of its divisors is an integer number (1602720).

Almost surely, 255294944 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 55294944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76930560).

55294944 is an abundant number, since it is smaller than the sum of its proper divisors (98566176).

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

55294944 is a wasteful number, since it uses less digits than its factorization.

55294944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

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

The square root of 55294944 is about 7436.0570196846. The cubic root of 55294944 is about 380.9738272609.

The spelling of 55294944 in words is "fifty-five million, two hundred ninety-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 79 92 96 138 158 184 237 276 316 317 368 474 552 632 634 736 948 951 1104 1264 1268 1817 1896 1902 2208 2528 2536 3634 3792 3804 5072 5451 7268 7291 7584 7608 10144 10902 14536 14582 15216 21804 21873 25043 29072 29164 30432 43608 43746 50086 58144 58328 75129 87216 87492 100172 116656 150258 174432 174984 200344 233312 300516 349968 400688 575989 601032 699936 801376 1151978 1202064 1727967 2303956 2404128 3455934 4607912 6911868 9215824 13823736 18431648 27647472 55294944