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104371488 = 25321361457
BaseRepresentation
bin1100011100010…
…01010100100000
321021101121202200
412032021110200
5203204341423
614205013200
72405100024
oct616112440
9237347680
10104371488
1153a07931
122ab54200
13188144a0
14dc0c384
159269d43
hex6389520

104371488 has 144 divisors (see below), whose sum is σ = 325588536. Its totient is φ = 31518720.

The previous prime is 104371441. The next prime is 104371507. The reversal of 104371488 is 884173401.

104371488 is a `hidden beast` number, since 104 + 3 + 71 + 488 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62536464 + 41835024 = 7908^2 + 6468^2 .

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

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

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, 228156 + ... + 228612.

Almost surely, 2104371488 is an apocalyptic number.

104371488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104371488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162794268).

104371488 is an abundant number, since it is smaller than the sum of its proper divisors (221217048).

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

104371488 is a wasteful number, since it uses less digits than its factorization.

104371488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 104371488 is about 10216.2364890404. The cubic root of 104371488 is about 470.8262033396.

The spelling of 104371488 in words is "one hundred four million, three hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 61 72 78 96 104 117 122 144 156 183 208 234 244 288 312 366 416 457 468 488 549 624 732 793 914 936 976 1098 1248 1371 1464 1586 1828 1872 1952 2196 2379 2742 2928 3172 3656 3744 4113 4392 4758 5484 5856 5941 6344 7137 7312 8226 8784 9516 10968 11882 12688 14274 14624 16452 17568 17823 19032 21936 23764 25376 27877 28548 32904 35646 38064 43872 47528 53469 55754 57096 65808 71292 76128 83631 95056 106938 111508 114192 131616 142584 167262 190112 213876 223016 228384 250893 285168 334524 362401 427752 446032 501786 570336 669048 724802 855504 892064 1003572 1087203 1338096 1449604 1711008 2007144 2174406 2676192 2899208 3261609 4014288 4348812 5798416 6523218 8028576 8697624 11596832 13046436 17395248 26092872 34790496 52185744 104371488