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54997488 = 24337131399
BaseRepresentation
bin1101000111001…
…1000111110000
310211111011101000
43101303013300
5103034404423
65242442000
71235320350
oct321630760
9124434330
1054997488
1129054477
1216503300
13b517cc0
147438b60
154c65843
hex34731f0

54997488 has 160 divisors (see below), whose sum is σ = 194432000. Its totient is φ = 14494464.

The previous prime is 54997471. The next prime is 54997493. The reversal of 54997488 is 88479945.

54997488 is a `hidden beast` number, since 5 + 499 + 74 + 88 = 666.

54997488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38613 + ... + 40011.

It is an arithmetic number, because the mean of its divisors is an integer number (1215200).

Almost surely, 254997488 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 54997488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97216000).

54997488 is an abundant number, since it is smaller than the sum of its proper divisors (139434512).

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

54997488 is a wasteful number, since it uses less digits than its factorization.

54997488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1424 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 54997488 is about 7416.0291261564. The cubic root of 54997488 is about 380.2894562810.

The spelling of 54997488 in words is "fifty-four million, nine hundred ninety-seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1399 1404 1456 1512 1638 1872 2184 2457 2798 2808 3024 3276 4197 4368 4914 5596 5616 6552 8394 9793 9828 11192 12591 13104 16788 18187 19586 19656 22384 25182 29379 33576 36374 37773 39172 39312 50364 54561 58758 67152 72748 75546 78344 88137 100728 109122 117516 127309 145496 151092 156688 163683 176274 201456 218244 235032 254618 264411 290992 302184 327366 352548 381927 436488 470064 491049 509236 528822 604368 654732 705096 763854 872976 982098 1018472 1057644 1145781 1309464 1410192 1527708 1964196 2036944 2115288 2291562 2618928 3055416 3437343 3928392 4230576 4583124 6110832 6874686 7856784 9166248 13749372 18332496 27498744 54997488