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4006941048 = 2334113715193
BaseRepresentation
bin1110111011010101…
…0001000101111000
3101100020202200210000
43232311101011320
531201234103143
61501334353000
7201203302605
oct35665210570
911306680700
104006941048
1117768a5130
12939abb760
134bb1b1b46
142a023d6ac
15186b96bd3
hexeed51178

4006941048 has 160 divisors (see below), whose sum is σ = 12575162160. Its totient is φ = 1181329920.

The previous prime is 4006941047. The next prime is 4006941061. The reversal of 4006941048 is 8401496004.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006941041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 256140 + ... + 271332.

Almost surely, 24006941048 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 4006941048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287581080).

4006941048 is an abundant number, since it is smaller than the sum of its proper divisors (8568221112).

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

4006941048 is a wasteful number, since it uses less digits than its factorization.

4006941048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15259 (or 15246 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4006941048 is about 63300.4032214646. The cubic root of 4006941048 is about 1588.3187069568.

The spelling of 4006941048 in words is "four billion, six million, nine hundred forty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 37 44 54 66 72 74 81 88 99 108 111 132 148 162 198 216 222 264 296 297 324 333 396 407 444 594 648 666 792 814 888 891 999 1188 1221 1332 1628 1782 1998 2376 2442 2664 2997 3256 3564 3663 3996 4884 5994 7128 7326 7992 9768 10989 11988 14652 15193 21978 23976 29304 30386 32967 43956 45579 60772 65934 87912 91158 121544 131868 136737 167123 182316 263736 273474 334246 364632 410211 501369 546948 562141 668492 820422 1002738 1093896 1124282 1230633 1336984 1504107 1640844 1686423 2005476 2248564 2461266 3008214 3281688 3372846 4010952 4497128 4512321 4922532 5059269 6016428 6183551 6745692 9024642 9845064 10118538 12032856 12367102 13491384 13536963 15177807 18049284 18550653 20237076 24734204 27073926 30355614 36098568 37101306 40474152 45533421 49468408 54147852 55651959 60711228 74202612 91066842 108295704 111303918 121422456 148405224 166955877 182133684 222607836 333911754 364267368 445215672 500867631 667823508 1001735262 1335647016 2003470524 4006941048