Search a number
-
+
1457801712 = 243101543
BaseRepresentation
bin101011011100100…
…0100100111110000
310202121010000000000
41112321010213300
510441144123322
6400353430000
751061052523
oct12671044760
93677100000
101457801712
11688989004
1234826b300
131a3038c83
14db87abba
1587eb13ac
hex56e449f0

1457801712 has 110 divisors (see below), whose sum is σ = 4239458072. Its totient is φ = 485618976.

The previous prime is 1457801707. The next prime is 1457801767. The reversal of 1457801712 is 2171087541.

1457801712 is a `hidden beast` number, since 14 + 578 + 0 + 1 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 944013 + ... + 945555.

Almost surely, 21457801712 is an apocalyptic number.

1457801712 is a gapful number since it is divisible by the number (12) 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 1457801712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119729036).

1457801712 is an abundant number, since it is smaller than the sum of its proper divisors (2781656360).

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

1457801712 is an frugal number, since it uses more digits than its factorization.

1457801712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1457801712 is about 38181.1695996862. The cubic root of 1457801712 is about 1133.8775377960.

The spelling of 1457801712 in words is "one billion, four hundred fifty-seven million, eight hundred one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1543 1944 2187 2916 3086 3888 4374 4629 5832 6172 6561 8748 9258 11664 12344 13122 13887 17496 18516 19683 24688 26244 27774 34992 37032 39366 41661 52488 55548 59049 74064 78732 83322 104976 111096 118098 124983 157464 166644 222192 236196 249966 314928 333288 374949 472392 499932 666576 749898 944784 999864 1124847 1499796 1999728 2249694 2999592 3374541 4499388 5999184 6749082 8998776 10123623 13498164 17997552 20247246 26996328 30370869 40494492 53992656 60741738 80988984 91112607 121483476 161977968 182225214 242966952 364450428 485933904 728900856 1457801712