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3861423984 = 2431131269877
BaseRepresentation
bin1110011000101000…
…1010011101110000
3100222002221122220010
43212022022131300
530402011031414
61435055414520
7164455363605
oct34612123560
910862848803
103861423984
111701744aa0
128b9224440
13496cc2582
14288ba06ac
15179000959
hexe628a770

3861423984 has 160 divisors (see below), whose sum is σ = 11287848960. Its totient is φ = 1126886400.

The previous prime is 3861423983. The next prime is 3861423991. The reversal of 3861423984 is 4893241683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3861423983) 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, 4402554 + ... + 4403430.

It is an arithmetic number, because the mean of its divisors is an integer number (70549056).

Almost surely, 23861423984 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 3861423984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643924480).

3861423984 is an abundant number, since it is smaller than the sum of its proper divisors (7426424976).

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

3861423984 is a wasteful number, since it uses less digits than its factorization.

3861423984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1193 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 3861423984 is about 62140.3571280372. The cubic root of 3861423984 is about 1568.8538816327.

The spelling of 3861423984 in words is "three billion, eight hundred sixty-one million, four hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 269 341 372 496 528 538 682 744 807 877 1023 1076 1364 1488 1614 1754 2046 2152 2631 2728 2959 3228 3508 4092 4304 5262 5456 5918 6456 7016 8184 8339 8877 9647 10524 11836 12912 14032 16368 16678 17754 19294 21048 23672 25017 27187 28941 33356 35508 38588 42096 47344 50034 54374 57882 66712 71016 77176 81561 91729 100068 108748 115764 133424 142032 154352 163122 183458 200136 217496 231528 235913 275187 299057 326244 366916 400272 434992 463056 471826 550374 598114 652488 707739 733832 897171 943652 1100748 1196228 1304976 1415478 1467664 1794342 1887304 2201496 2392456 2595043 2830956 3588684 3774608 4402992 4784912 5190086 5661912 7177368 7313303 7785129 10380172 11323824 14354736 14626606 15570258 20760344 21939909 29253212 31140516 41520688 43879818 58506424 62281032 80446333 87759636 117012848 124562064 160892666 175519272 241338999 321785332 351038544 482677998 643570664 965355996 1287141328 1930711992 3861423984