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4100023452 = 2237219418951
BaseRepresentation
bin1111010001100001…
…0110010010011100
3101120201220202211110
43310120112102130
531344101222302
61514501422020
7203413424100
oct36430262234
911521822743
104100023452
1118143a1338
1296510a910
13504572aa5
142ac74d900
1518ee31b6c
hexf461649c

4100023452 has 144 divisors (see below), whose sum is σ = 12001409280. Its totient is φ = 1082592000.

The previous prime is 4100023441. The next prime is 4100023481. The reversal of 4100023452 is 2543200014.

It is a Harshad number since it is a multiple of its sum of digits (21).

4100023452 is a modest number, since divided by 23452 gives 4100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453577 + ... + 462527.

It is an arithmetic number, because the mean of its divisors is an integer number (83343120).

Almost surely, 24100023452 is an apocalyptic number.

4100023452 is a gapful number since it is divisible by the number (42) 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 4100023452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6000704640).

4100023452 is an abundant number, since it is smaller than the sum of its proper divisors (7901385828).

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

4100023452 is a wasteful number, since it uses less digits than its factorization.

4100023452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9032 (or 9023 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4100023452 is about 64031.4255034198. The cubic root of 4100023452 is about 1600.5237155367.

Adding to 4100023452 its reverse (2543200014), we get a palindrome (6643223466).

The spelling of 4100023452 in words is "four billion, one hundred million, twenty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 41 42 49 57 76 82 84 98 114 123 133 147 164 196 228 246 266 287 294 399 492 532 574 588 779 798 861 931 1148 1558 1596 1722 1862 2009 2337 2793 3116 3444 3724 4018 4674 5453 5586 6027 8036 8951 9348 10906 11172 12054 16359 17902 21812 24108 26853 32718 35804 38171 53706 62657 65436 76342 107412 114513 125314 152684 170069 187971 229026 250628 340138 366991 375942 438599 458052 510207 680276 733982 751884 877198 1020414 1100973 1190483 1315797 1467964 1754396 2040828 2201946 2380966 2568937 2631594 3571449 4403892 4761932 5137874 5263188 6972829 7142898 7706811 8333381 10275748 13945658 14285796 15413622 16666762 17982559 20918487 25000143 27891316 30827244 33333524 35965118 41836974 48809803 50000286 53947677 71930236 83673948 97619606 100000572 107895354 146429409 195239212 215790708 292858818 341668621 585717636 683337242 1025005863 1366674484 2050011726 4100023452