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3125455984 = 2472171511553
BaseRepresentation
bin1011101001001010…
…1010110001110000
322001211002121121001
42322102222301300
522400104042414
61234045211344
7140310636400
oct27222526160
98054077531
103125455984
111364269382
12732860b54
133aa69b951
14219142800
151345c6074
hexba4aac70

3125455984 has 120 divisors (see below), whose sum is σ = 7512831648. Its totient is φ = 1251532800.

The previous prime is 3125455979. The next prime is 3125456011. The reversal of 3125455984 is 4895545213.

It is a congruent number.

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, 2011752 + ... + 2013304.

Almost surely, 23125455984 is an apocalyptic number.

3125455984 is a gapful number since it is divisible by the number (34) 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 3125455984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756415824).

3125455984 is an abundant number, since it is smaller than the sum of its proper divisors (4387375664).

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

3125455984 is a wasteful number, since it uses less digits than its factorization.

3125455984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1730 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The square root of 3125455984 is about 55905.7777336118. Note that the first 4 decimals coincide. The cubic root of 3125455984 is about 1462.0799752643.

The spelling of 3125455984 in words is "three billion, one hundred twenty-five million, four hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 151 196 238 272 302 392 476 604 784 833 952 1057 1208 1553 1666 1904 2114 2416 2567 3106 3332 4228 5134 6212 6664 7399 8456 10268 10871 12424 13328 14798 16912 17969 20536 21742 24848 26401 29596 35938 41072 43484 52802 59192 71876 76097 86968 105604 118384 125783 143752 152194 173936 184807 211208 234503 251566 287504 304388 369614 422416 469006 503132 608776 739228 938012 1006264 1217552 1293649 1478456 1641521 1876024 2012528 2587298 2956912 3283042 3752048 3986551 5174596 6566084 7973102 10349192 11490647 13132168 15946204 20698384 22981294 26264336 27905857 31892408 45962588 55811714 63784816 91925176 111623428 183850352 195340999 223246856 390681998 446493712 781363996 1562727992 3125455984