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3870380256 = 253193168449
BaseRepresentation
bin1110011010110001…
…0101000011100000
3100222201210200120220
43212230111003200
530411304132011
61440015403040
7164624455311
oct34654250340
910881720526
103870380256
111706801a76
12900223480
13498b0a042
1428a052608
15179bbe506
hexe6b150e0

3870380256 has 96 divisors (see below), whose sum is σ = 11039616000. Its totient is φ = 1182781440.

The previous prime is 3870380251. The next prime is 3870380263. The reversal of 3870380256 is 6520830783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870380251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22320 + ... + 90768.

It is an arithmetic number, because the mean of its divisors is an integer number (114996000).

Almost surely, 23870380256 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 3870380256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519808000).

3870380256 is an abundant number, since it is smaller than the sum of its proper divisors (7169235744).

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

3870380256 is a wasteful number, since it uses less digits than its factorization.

3870380256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68512 (or 68504 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 3870380256 is about 62212.3802470216. The cubic root of 3870380256 is about 1570.0658898334.

It can be divided in two parts, 3870 and 380256, that added together give a triangular number (384126 = T876).

The spelling of 3870380256 in words is "three billion, eight hundred seventy million, three hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 56544 68449 136898 205347 273796 410694 547592 821388 1095184 1300531 1642776 2121919 2190368 2601062 3285552 3901593 4243838 5202124 6365757 6571104 7803186 8487676 10404248 12731514 15606372 16975352 20808496 25463028 31212744 33950704 40316461 41616992 50926056 62425488 67901408 80632922 101852112 120949383 124850976 161265844 203704224 241898766 322531688 483797532 645063376 967595064 1290126752 1935190128 3870380256