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3690489888 = 253229736053
BaseRepresentation
bin1101101111111000…
…0110100000100000
3100112012022022101200
43123332012200200
530024231134023
61410112001200
7160311434511
oct33376064040
910465268350
103690489888
111624204748
1286bb30200
1346a774037
142701c6a08
15168ed8743
hexdbf86820

3690489888 has 144 divisors (see below), whose sum is σ = 11007261720. Its totient is φ = 1171279872.

The previous prime is 3690489841. The next prime is 3690489919. The reversal of 3690489888 is 8889840963.

It can be written as a sum of positive squares in 4 ways, for example, as 2505202704 + 1185287184 = 50052^2 + 34428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36904898882 = 27239431226860505088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606670 + ... + 612722.

Almost surely, 23690489888 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 3690489888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5503630860).

3690489888 is an abundant number, since it is smaller than the sum of its proper divisors (7316771832).

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

3690489888 is a wasteful number, since it uses less digits than its factorization.

3690489888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6160 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The square root of 3690489888 is about 60749.4023674307. The cubic root of 3690489888 is about 1545.3540923413.

The spelling of 3690489888 in words is "three billion, six hundred ninety million, four hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 73 87 96 116 144 146 174 219 232 261 288 292 348 438 464 522 584 657 696 876 928 1044 1168 1314 1392 1752 2088 2117 2336 2628 2784 3504 4176 4234 5256 6053 6351 7008 8352 8468 10512 12106 12702 16936 18159 19053 21024 24212 25404 33872 36318 38106 48424 50808 54477 67744 72636 76212 96848 101616 108954 145272 152424 175537 193696 203232 217908 290544 304848 351074 435816 441869 526611 581088 609696 702148 871632 883738 1053222 1325607 1404296 1579833 1743264 1767476 2106444 2651214 2808592 3159666 3534952 3976821 4212888 5302428 5617184 6319332 7069904 7953642 8425776 10604856 12638664 12814201 14139808 15907284 16851552 21209712 25277328 25628402 31814568 38442603 42419424 50554656 51256804 63629136 76885206 102513608 115327809 127258272 153770412 205027216 230655618 307540824 410054432 461311236 615081648 922622472 1230163296 1845244944 3690489888