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104045472 = 2534137293
BaseRepresentation
bin1100011001110…
…01101110100000
321020210001120000
412030321232200
5203113423342
614154020000
72402241366
oct614715640
9236701500
10104045472
11538049a3
122aa17600
131872bc8b
14db65636
15920344c
hex6339ba0

104045472 has 120 divisors (see below), whose sum is σ = 309280356. Its totient is φ = 34311168.

The previous prime is 104045471. The next prime is 104045479. The reversal of 104045472 is 274540401.

It can be written as a sum of positive squares in 2 ways, for example, as 93779856 + 10265616 = 9684^2 + 3204^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (104045471) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 354958 + ... + 355250.

Almost surely, 2104045472 is an apocalyptic number.

104045472 is a gapful number since it is divisible by the number (12) 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 104045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154640178).

104045472 is an abundant number, since it is smaller than the sum of its proper divisors (205234884).

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

104045472 is a wasteful number, since it uses less digits than its factorization.

104045472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 104045472 is about 10200.2682317672. The cubic root of 104045472 is about 470.3354659492.

Adding to 104045472 its reverse (274540401), we get a palindrome (378585873).

It can be divided in two parts, 10404 and 5472, that added together give a square (15876 = 1262).

The spelling of 104045472 in words is "one hundred four million, forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 137 144 162 216 274 288 293 324 411 432 548 586 648 822 864 879 1096 1172 1233 1296 1644 1758 2192 2344 2466 2592 2637 3288 3516 3699 4384 4688 4932 5274 6576 7032 7398 7911 9376 9864 10548 11097 13152 14064 14796 15822 19728 21096 22194 23733 28128 29592 31644 39456 40141 42192 44388 47466 59184 63288 80282 84384 88776 94932 118368 120423 126576 160564 177552 189864 240846 253152 321128 355104 361269 379728 481692 642256 722538 759456 963384 1083807 1284512 1445076 1926768 2167614 2890152 3251421 3853536 4335228 5780304 6502842 8670456 11560608 13005684 17340912 26011368 34681824 52022736 104045472