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1055003352 = 233133599419
BaseRepresentation
bin111110111000100…
…001001011011000
32201112011201112020
4332320201023120
54130040101402
6252404214440
735100244344
oct7670411330
92645151466
101055003352
114a15816a7
1225539a420
1313a757a50
14a0188624
15629488bc
hex3ee212d8

1055003352 has 64 divisors (see below), whose sum is σ = 2848608000. Its totient is φ = 323677824.

The previous prime is 1055003333. The next prime is 1055003363. The reversal of 1055003352 is 2533005501.

1055003352 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 2×10550033522 = 2226064145462471808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107299 + ... + 116717.

It is an arithmetic number, because the mean of its divisors is an integer number (44509500).

Almost surely, 21055003352 is an apocalyptic number.

1055003352 is a gapful number since it is divisible by the number (12) 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 1055003352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424304000).

1055003352 is an abundant number, since it is smaller than the sum of its proper divisors (1793604648).

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

1055003352 is a wasteful number, since it uses less digits than its factorization.

1055003352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9800 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 1055003352 is about 32480.8151375547. The cubic root of 1055003352 is about 1018.0082084349.

Adding to 1055003352 its reverse (2533005501), we get a palindrome (3588008853).

The spelling of 1055003352 in words is "one billion, fifty-five million, three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 359 718 1077 1436 2154 2872 4308 4667 8616 9334 9419 14001 18668 18838 28002 28257 37336 37676 56004 56514 75352 112008 113028 122447 226056 244894 367341 489788 734682 979576 1469364 2938728 3381421 6762842 10144263 13525684 20288526 27051368 40577052 43958473 81154104 87916946 131875419 175833892 263750838 351667784 527501676 1055003352