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3949914672 = 2433116831217
BaseRepresentation
bin1110101101101110…
…1110101000110000
3101012021110110022000
43223123232220300
531042134232142
61451540214000
7166611502134
oct35333565060
911167413260
103949914672
1117476953a0
1292299a300
134ac436522
142968373c4
15181b8014c
hexeb6eea30

3949914672 has 160 divisors (see below), whose sum is σ = 12396706560. Its totient is φ = 1194209280.

The previous prime is 3949914653. The next prime is 3949914677. The reversal of 3949914672 is 2764199493.

3949914672 is a `hidden beast` number, since 3 + 9 + 499 + 146 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3949914677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3245008 + ... + 3246224.

It is an arithmetic number, because the mean of its divisors is an integer number (77479416).

Almost surely, 23949914672 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 3949914672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198353280).

3949914672 is an abundant number, since it is smaller than the sum of its proper divisors (8446791888).

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

3949914672 is a wasteful number, since it uses less digits than its factorization.

3949914672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1916 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 3949914672 is about 62848.3466130971. The cubic root of 3949914672 is about 1580.7477462655.

The spelling of 3949914672 in words is "three billion, nine hundred forty-nine million, nine hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 683 792 1188 1217 1366 1584 2049 2376 2434 2732 3651 4098 4752 4868 5464 6147 7302 7513 8196 9736 10928 10953 12294 13387 14604 15026 16392 18441 19472 21906 22539 24588 26774 29208 30052 32784 32859 36882 40161 43812 45078 49176 53548 58416 60104 65718 67617 73764 80322 87624 90156 98352 107096 120208 120483 131436 135234 147528 160644 175248 180312 202851 214192 240966 262872 270468 295056 321288 360624 361449 405702 481932 525744 540936 642576 722898 811404 831211 963864 1081872 1445796 1622808 1662422 1927728 2493633 2891592 3245616 3324844 4987266 5783184 6649688 7480899 9143321 9974532 13299376 14961798 18286642 19949064 22442697 27429963 29923596 36573284 39898128 44885394 54859926 59847192 73146568 82289889 89770788 109719852 119694384 146293136 164579778 179541576 219439704 246869667 329159556 359083152 438879408 493739334 658319112 987478668 1316638224 1974957336 3949914672