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2023463552 = 27114730577
BaseRepresentation
bin111100010011011…
…1001101010000000
312020000111121011112
41320212321222000
513121001313202
6532441502452
7101100104435
oct17046715200
95200447145
102023463552
11949213130
124857a1a28
132632a1116
14152a45b8c
15bc999b52
hex789b9a80

2023463552 has 64 divisors (see below), whose sum is σ = 4491296640. Its totient is φ = 900157440.

The previous prime is 2023463467. The next prime is 2023463623. The reversal of 2023463552 is 2553643202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50888 + ... + 81464.

It is an arithmetic number, because the mean of its divisors is an integer number (70176510).

Almost surely, 22023463552 is an apocalyptic number.

2023463552 is a gapful number since it is divisible by the number (22) 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 2023463552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245648320).

2023463552 is an abundant number, since it is smaller than the sum of its proper divisors (2467833088).

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

2023463552 is a wasteful number, since it uses less digits than its factorization.

2023463552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30649 (or 30637 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The square root of 2023463552 is about 44982.9251160927. The cubic root of 2023463552 is about 1264.8289440470.

2023463552 divided by its sum of digits (32) gives a palindrome (63233236).

The spelling of 2023463552 in words is "two billion, twenty-three million, four hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 176 188 352 376 517 704 752 1034 1408 1504 2068 3008 4136 6016 8272 16544 30577 33088 61154 66176 122308 244616 336347 489232 672694 978464 1345388 1437119 1956928 2690776 2874238 3913856 5381552 5748476 10763104 11496952 15808309 21526208 22993904 31616618 43052416 45987808 63233236 91975616 126466472 183951232 252932944 505865888 1011731776 2023463552