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55250784 = 25321923439
BaseRepresentation
bin1101001011000…
…0111101100000
310211222000211100
43102300331200
5103121011114
65252114400
71240424001
oct322607540
9124860740
1055250784
1129207806
1216605a00
13b5a6394
1474a31a8
154cb5909
hex34b0f60

55250784 has 144 divisors (see below), whose sum is σ = 172972800. Its totient is φ = 16651008.

The previous prime is 55250779. The next prime is 55250791. The reversal of 55250784 is 48705255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×552507842 = 6105298265229312, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125637 + ... + 126075.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 255250784 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 55250784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

55250784 is an abundant number, since it is smaller than the sum of its proper divisors (117722016).

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

55250784 is a wasteful number, since it uses less digits than its factorization.

55250784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 55250784 is about 7433.0871110192. The cubic root of 55250784 is about 380.8723816697.

The spelling of 55250784 in words is "fifty-five million, two hundred fifty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 32 36 38 46 48 57 69 72 76 92 96 114 138 144 152 171 184 207 228 276 288 304 342 368 414 437 439 456 552 608 684 736 828 874 878 912 1104 1311 1317 1368 1656 1748 1756 1824 2208 2622 2634 2736 3312 3496 3512 3933 3951 5244 5268 5472 6624 6992 7024 7866 7902 8341 10097 10488 10536 13984 14048 15732 15804 16682 20194 20976 21072 25023 30291 31464 31608 33364 40388 41952 42144 50046 60582 62928 63216 66728 75069 80776 90873 100092 121164 125856 126432 133456 150138 161552 181746 191843 200184 242328 266912 300276 323104 363492 383686 400368 484656 575529 600552 726984 767372 800736 969312 1151058 1201104 1453968 1534744 1726587 2302116 2402208 2907936 3069488 3453174 4604232 6138976 6906348 9208464 13812696 18416928 27625392 55250784