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2528055024 = 2431135913337
BaseRepresentation
bin1001011010101111…
…0000111011110000
320112011222111112120
42112223300323300
520134140230044
61054504554240
7116435053545
oct22653607360
96464874476
102528055024
111088026180
125a6782980
133139a3061
1419da74bcc
15ebe1d519
hex96af0ef0

2528055024 has 80 divisors (see below), whose sum is σ = 7144899840. Its totient is φ = 763886080.

The previous prime is 2528055017. The next prime is 2528055041. The reversal of 2528055024 is 4205508252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182884 + ... + 196220.

It is an arithmetic number, because the mean of its divisors is an integer number (89311248).

Almost surely, 22528055024 is an apocalyptic number.

2528055024 is a gapful number since it is divisible by the number (24) 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 2528055024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572449920).

2528055024 is an abundant number, since it is smaller than the sum of its proper divisors (4616844816).

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

2528055024 is a wasteful number, since it uses less digits than its factorization.

2528055024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13712 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 2528055024 is about 50279.7675412287. The cubic root of 2528055024 is about 1362.2668050137.

The spelling of 2528055024 in words is "two billion, five hundred twenty-eight million, fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 359 528 718 1077 1436 2154 2872 3949 4308 5744 7898 8616 11847 13337 15796 17232 23694 26674 31592 40011 47388 53348 63184 80022 94776 106696 146707 160044 189552 213392 293414 320088 440121 586828 640176 880242 1173656 1760484 2347312 3520968 4787983 7041936 9575966 14363949 19151932 28727898 38303864 52667813 57455796 76607728 105335626 114911592 158003439 210671252 229823184 316006878 421342504 632013756 842685008 1264027512 2528055024