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4052100924 = 223361718663
BaseRepresentation
bin1111000110000110…
…0010011100111100
3101110101202001111000
43301201202130330
531244314212144
61510030330300
7202262201214
oct36141423474
911411661430
104052100924
11179a33a443
12951059990
134c7664171
142a6237244
1518ab17769
hexf186273c

4052100924 has 96 divisors (see below), whose sum is σ = 10829306880. Its totient is φ = 1309694400.

The previous prime is 4052100907. The next prime is 4052100937. The reversal of 4052100924 is 4290012504.

4052100924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463417 + ... + 472079.

It is an arithmetic number, because the mean of its divisors is an integer number (112805280).

Almost surely, 24052100924 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 4052100924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414653440).

4052100924 is an abundant number, since it is smaller than the sum of its proper divisors (6777205956).

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

4052100924 is a wasteful number, since it uses less digits than its factorization.

4052100924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8808 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4052100924 is about 63656.1145845393. The cubic root of 4052100924 is about 1594.2634314230.

It can be divided in two parts, 4052 and 100924, that added together give a 4-th power (104976 = 184).

The spelling of 4052100924 in words is "four billion, fifty-two million, one hundred thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 71 108 122 142 183 213 244 284 366 426 549 639 732 852 1098 1278 1647 1917 2196 2556 3294 3834 4331 6588 7668 8662 8663 12993 17324 17326 25986 25989 34652 38979 51972 51978 77958 77967 103956 116937 155916 155934 233874 233901 311868 467748 467802 528443 615073 935604 1056886 1230146 1585329 1845219 2113772 2460292 3170658 3690438 4755987 5535657 6341316 7380876 9511974 11071314 14267961 16606971 19023948 22142628 28535922 33213942 37519453 57071844 66427884 75038906 112558359 150077812 225116718 337675077 450233436 675350154 1013025231 1350700308 2026050462 4052100924