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10056552 = 2331123463
BaseRepresentation
bin100110010111…
…001101101000
3200220220222220
4212113031220
510033302202
6555314040
7151323252
oct46271550
920826886
1010056552
115749700
12344b920
13211152c
14149acd2
15d39abc
hex997368

10056552 has 48 divisors (see below), whose sum is σ = 27642720. Its totient is φ = 3046560.

The previous prime is 10056551. The next prime is 10056569. The reversal of 10056552 is 25565001.

10056552 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 2×100565522 = 202268476257408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10056551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (575890).

Almost surely, 210056552 is an apocalyptic number.

10056552 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 10056552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821360).

10056552 is an abundant number, since it is smaller than the sum of its proper divisors (17586168).

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

10056552 is a wasteful number, since it uses less digits than its factorization.

10056552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 10056552 is about 3171.2067103864. The cubic root of 10056552 is about 215.8488311281.

It can be divided in two parts, 1005 and 6552, that added together give a palindrome (7557).

The spelling of 10056552 in words is "ten million, fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1452 2904 3463 6926 10389 13852 20778 27704 38093 41556 76186 83112 114279 152372 228558 304744 419023 457116 838046 914232 1257069 1676092 2514138 3352184 5028276 10056552