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1157105472 = 26319317189
BaseRepresentation
bin100010011111000…
…0000011101000000
32222122022001022020
41010332000131000
54332204333342
6310452441440
740450143225
oct10476003500
92878261266
101157105472
11544179516
12283619280
131559562c3
14ad96594c
156b8b60ec
hex44f80740

1157105472 has 56 divisors (see below), whose sum is σ = 3222650400. Its totient is φ = 365400576.

The previous prime is 1157105461. The next prime is 1157105479. The reversal of 1157105472 is 2745017511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157105479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154947 + ... + 162242.

Almost surely, 21157105472 is an apocalyptic number.

1157105472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1157105472 is an abundant number, since it is smaller than the sum of its proper divisors (2065544928).

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

1157105472 is a wasteful number, since it uses less digits than its factorization.

1157105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317223 (or 317213 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 33.

The square root of 1157105472 is about 34016.2530564435. The cubic root of 1157105472 is about 1049.8429007593.

The spelling of 1157105472 in words is "one billion, one hundred fifty-seven million, one hundred five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 317189 634378 951567 1268756 1903134 2537512 3806268 5075024 6026591 7612536 10150048 12053182 15225072 18079773 20300096 24106364 30450144 36159546 48212728 60900288 72319092 96425456 144638184 192850912 289276368 385701824 578552736 1157105472