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3704725248 = 28371016823
BaseRepresentation
bin1101110011010001…
…1001111100000000
3100120012002112122020
43130310121330000
530041402201443
61411341041440
7160543434150
oct33464317400
910505075566
103704725248
111631247a04
12874856280
134706b9623
14272050760
1516a39b583
hexdcd19f00

3704725248 has 144 divisors (see below), whose sum is σ = 11381776896. Its totient is φ = 1047859200.

The previous prime is 3704725247. The next prime is 3704725267. The reversal of 3704725248 is 8425274073.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3704725247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 539565 + ... + 546387.

Almost surely, 23704725248 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 3704725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5690888448).

3704725248 is an abundant number, since it is smaller than the sum of its proper divisors (7677051648).

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

3704725248 is a wasteful number, since it uses less digits than its factorization.

3704725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950 (or 6936 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 3704725248 is about 60866.4542091947. The cubic root of 3704725248 is about 1547.3385124528.

The spelling of 3704725248 in words is "three billion, seven hundred four million, seven hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 448 606 672 707 768 808 896 1212 1344 1414 1616 1792 2121 2424 2688 2828 3232 4242 4848 5376 5656 6464 6823 8484 9696 11312 12928 13646 16968 19392 20469 22624 25856 27292 33936 38784 40938 45248 47761 54584 67872 77568 81876 90496 95522 109168 135744 143283 163752 180992 191044 218336 271488 286566 327504 382088 436672 542976 573132 655008 689123 764176 873344 1146264 1310016 1378246 1528352 1746688 2067369 2292528 2620032 2756492 3056704 4134738 4585056 4823861 5240064 5512984 6113408 8269476 9170112 9647722 11025968 12226816 14471583 16538952 18340224 19295444 22051936 28943166 33077904 36680448 38590888 44103872 57886332 66155808 77181776 88207744 115772664 132311616 154363552 176415488 231545328 264623232 308727104 463090656 529246464 617454208 926181312 1234908416 1852362624 3704725248