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54380144 = 24713417
BaseRepresentation
bin1100111101110…
…0011001110000
310210022210112102
43033130121300
5102410131034
65221315532
71230136460
oct317343160
9123283472
1054380144
1128772675
1216265ba8
13b360000
147317ba0
154b9297e
hex33dc670

54380144 has 100 divisors (see below), whose sum is σ = 138120624. Its totient is φ = 20247552.

The previous prime is 54380113. The next prime is 54380159. The reversal of 54380144 is 44108345.

It is a super-2 number, since 2×543801442 = 5914400122921472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3198824 + ... + 3198840.

Almost surely, 254380144 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 54380144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69060312).

54380144 is an abundant number, since it is smaller than the sum of its proper divisors (83740480).

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

54380144 is an equidigital number, since it uses as much as digits as its factorization.

54380144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 54380144 is about 7374.2893894937. The cubic root of 54380144 is about 378.8611888768.

Adding to 54380144 its reverse (44108345), we get a palindrome (98488489).

The spelling of 54380144 in words is "fifty-four million, three hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 169 182 208 221 238 272 338 364 442 476 676 728 884 952 1183 1352 1456 1547 1768 1904 2197 2366 2704 2873 3094 3536 4394 4732 5746 6188 8788 9464 11492 12376 15379 17576 18928 20111 22984 24752 28561 30758 35152 37349 40222 45968 57122 61516 74698 80444 114244 123032 149396 160888 199927 228488 246064 261443 298792 321776 399854 456976 485537 522886 597584 799708 971074 1045772 1599416 1942148 2091544 3198832 3398759 3884296 4183088 6797518 7768592 13595036 27190072 54380144