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3719245728 = 2531122313921
BaseRepresentation
bin1101110110101111…
…0010111110100000
3100121012102020222210
43131223302332200
530104111330403
61413020202120
7161111032002
oct33553627640
910535366883
103719245728
111639465400
12879699340
13473701923
14273d50372
1516b7b8b03
hexddaf2fa0

3719245728 has 144 divisors (see below), whose sum is σ = 11198634048. Its totient is φ = 1077964800.

The previous prime is 3719245681. The next prime is 3719245729. The reversal of 3719245728 is 8275429173.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3719245729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260208 + ... + 274128.

It is an arithmetic number, because the mean of its divisors is an integer number (77768292).

Almost surely, 23719245728 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 3719245728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599317024).

3719245728 is an abundant number, since it is smaller than the sum of its proper divisors (7479388320).

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

3719245728 is a wasteful number, since it uses less digits than its factorization.

3719245728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13960 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 3719245728 is about 60985.6190261278. The cubic root of 3719245728 is about 1549.3574482702.

The spelling of 3719245728 in words is "three billion, seven hundred nineteen million, two hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 176 184 242 253 264 276 352 363 368 484 506 528 552 726 736 759 968 1012 1056 1104 1452 1518 1936 2024 2208 2783 2904 3036 3872 4048 5566 5808 6072 8096 8349 11132 11616 12144 13921 16698 22264 24288 27842 33396 41763 44528 55684 66792 83526 89056 111368 133584 153131 167052 222736 267168 306262 320183 334104 445472 459393 612524 640366 668208 918786 960549 1225048 1280732 1336416 1684441 1837572 1921098 2450096 2561464 3368882 3522013 3675144 3842196 4900192 5053323 5122928 6737764 7044026 7350288 7684392 10106646 10245856 10566039 13475528 14088052 14700576 15368784 20213292 21132078 26951056 28176104 30737568 38742143 40426584 42264156 53902112 56352208 77484286 80853168 84528312 112704416 116226429 154968572 161706336 169056624 232452858 309937144 338113248 464905716 619874288 929811432 1239748576 1859622864 3719245728