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1455101856 = 253213537333
BaseRepresentation
bin101011010111011…
…0001011110100000
310202102000211111100
41112232301132200
510440001224411
6400215514400
751026106315
oct12656613640
93672024440
101455101856
1168740461a
12347388a00
131a2602120
14db376d0c
1587b2b456
hex56bb17a0

1455101856 has 144 divisors (see below), whose sum is σ = 4540948776. Its totient is φ = 439216128.

The previous prime is 1455101827. The next prime is 1455101887. The reversal of 1455101856 is 6581015541.

It can be written as a sum of positive squares in 4 ways, for example, as 669981456 + 785120400 = 25884^2 + 28020^2 .

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

It is a super-2 number, since 2×14551018562 = 4234642822669289472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1455101856.

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, 194766 + ... + 202098.

Almost surely, 21455101856 is an apocalyptic number.

1455101856 is a gapful number since it is divisible by the number (16) 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 1455101856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270474388).

1455101856 is an abundant number, since it is smaller than the sum of its proper divisors (3085846920).

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

1455101856 is a wasteful number, since it uses less digits than its factorization.

1455101856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 1455101856 is about 38145.7973569829. The cubic root of 1455101856 is about 1133.1771229530.

The spelling of 1455101856 in words is "one billion, four hundred fifty-five million, one hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 53 72 78 96 104 106 117 144 156 159 208 212 234 288 312 318 416 424 468 477 624 636 689 848 936 954 1248 1272 1378 1696 1872 1908 2067 2544 2756 3744 3816 4134 5088 5512 6201 7333 7632 8268 11024 12402 14666 15264 16536 21999 22048 24804 29332 33072 43998 49608 58664 65997 66144 87996 95329 99216 117328 131994 175992 190658 198432 234656 263988 285987 351984 381316 388649 527976 571974 703968 762632 777298 857961 1055952 1143948 1165947 1525264 1554596 1715922 2111904 2287896 2331894 3050528 3109192 3431844 3497841 4575792 4663788 5052437 6218384 6863688 6995682 9151584 9327576 10104874 12436768 13727376 13991364 15157311 18655152 20209748 27454752 27982728 30314622 37310304 40419496 45471933 55965456 60629244 80838992 90943866 111930912 121258488 161677984 181887732 242516976 363775464 485033952 727550928 1455101856