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1085273496 = 233229217923
BaseRepresentation
bin100000010101111…
…1111010110011000
32210122010121100200
41000223333112120
54210312222441
6255405102200
735615446446
oct10053772630
92718117320
101085273496
1150767704a
12263557960
13143ac5988
14a41c7b96
15654277b6
hex40aff598

1085273496 has 72 divisors (see below), whose sum is σ = 3044301780. Its totient is φ = 349263936.

The previous prime is 1085273477. The next prime is 1085273531. The reversal of 1085273496 is 6943725801.

1085273496 is a `hidden beast` number, since 1 + 0 + 8 + 527 + 34 + 96 = 666.

1085273496 is digitally balanced in base 4 and base 10, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10852734962 = 2355637122240124032, which contains 22 as substring.

1085273496 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 51591 + ... + 69513.

It is a 1-persistent number, because it is pandigital, but 2⋅1085273496 = 2170546992 is not.

It is a vampire number, since it can be written as 2018453769 (with its own digits).

Almost surely, 21085273496 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 1085273496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522150890).

1085273496 is an abundant number, since it is smaller than the sum of its proper divisors (1959028284).

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

1085273496 is a wasteful number, since it uses less digits than its factorization.

1085273496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17993 (or 17957 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1085273496 is about 32943.4894326633. The cubic root of 1085273496 is about 1027.6527742715.

It can be divided in two parts, 10852 and 73496, that added together give a palindrome (84348).

The spelling of 1085273496 in words is "one billion, eighty-five million, two hundred seventy-three thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 841 1044 1682 2088 2523 3364 5046 6728 7569 10092 15138 17923 20184 30276 35846 53769 60552 71692 107538 143384 161307 215076 322614 430152 519767 645228 1039534 1290456 1559301 2079068 3118602 4158136 4677903 6237204 9355806 12474408 15073243 18711612 30146486 37423224 45219729 60292972 90439458 120585944 135659187 180878916 271318374 361757832 542636748 1085273496