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1057427924 = 227611374519
BaseRepresentation
bin111111000001110…
…001000111010100
32201200201220102012
4333001301013110
54131200143144
6252532203352
735126663150
oct7701610724
92650656365
101057427924
114a2988283
12256169558
1313b0c64c7
14a061a060
1562c76e9e
hex3f0711d4

1057427924 has 48 divisors (see below), whose sum is σ = 2165694720. Its totient is φ = 442402560.

The previous prime is 1057427909. The next prime is 1057427927. The reversal of 1057427924 is 4297247501.

1057427924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10574279242 = 2236307628909899552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057427927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231737 + ... + 236255.

It is an arithmetic number, because the mean of its divisors is an integer number (45118640).

Almost surely, 21057427924 is an apocalyptic number.

1057427924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1057427924 is an abundant number, since it is smaller than the sum of its proper divisors (1108266796).

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

1057427924 is a wasteful number, since it uses less digits than its factorization.

1057427924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 1057427924 is about 32518.1168581454. The cubic root of 1057427924 is about 1018.7874621375.

The spelling of 1057427924 in words is "one billion, fifty-seven million, four hundred twenty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 61 122 137 244 274 427 548 854 959 1708 1918 3836 4519 8357 9038 16714 18076 31633 33428 58499 63266 116998 126532 233996 275659 551318 619103 1102636 1238206 1929613 2476412 3859226 4333721 7718452 8667442 17334884 37765283 75530566 151061132 264356981 528713962 1057427924