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1405651312 = 241319379613
BaseRepresentation
bin101001111001000…
…1000100101110000
310121221222111002201
41103302020211300
510334321320222
6351251552544
746555560532
oct12362104560
93557874081
101405651312
116614a96aa
123328bb754
131952a9b50
14d4983852
158360e427
hex53c88970

1405651312 has 80 divisors (see below), whose sum is σ = 3171081760. Its totient is φ = 597943296.

The previous prime is 1405651283. The next prime is 1405651333. The reversal of 1405651312 is 2131565041.

It is a super-2 number, since 2×14056513122 = 3951711221854642688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141418 + ... + 151030.

It is an arithmetic number, because the mean of its divisors is an integer number (39638522).

Almost surely, 21405651312 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 1405651312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585540880).

1405651312 is an abundant number, since it is smaller than the sum of its proper divisors (1765430448).

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

1405651312 is a wasteful number, since it uses less digits than its factorization.

1405651312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9684 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1405651312 is about 37492.0166435469. The cubic root of 1405651312 is about 1120.1921736569.

The spelling of 1405651312 in words is "one billion, four hundred five million, six hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 74 76 104 148 152 208 247 296 304 481 494 592 703 962 988 1406 1924 1976 2812 3848 3952 5624 7696 9139 9613 11248 18278 19226 36556 38452 73112 76904 124969 146224 153808 182647 249938 355681 365294 499876 711362 730588 999752 1422724 1461176 1999504 2374411 2845448 2922352 4623853 4748822 5690896 6757939 9247706 9497644 13515878 18495412 18995288 27031756 36990824 37990576 54063512 73981648 87853207 108127024 175706414 351412828 702825656 1405651312