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645533376 = 26337891021
BaseRepresentation
bin100110011110100…
…000111011000000
31122222200111022120
4212132200323000
52310224032001
6144020004240
721665641335
oct4636407300
91588614276
10645533376
11301428864
12160230680
13a397bc17
1461a3a98c
153ba14236
hex267a0ec0

645533376 has 112 divisors (see below), whose sum is σ = 1775581920. Its totient is φ = 206807040.

The previous prime is 645533347. The next prime is 645533377. The reversal of 645533376 is 673335546.

It is not an unprimeable number, because it can be changed into a prime (645533377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631746 + ... + 632766.

It is an arithmetic number, because the mean of its divisors is an integer number (15853410).

Almost surely, 2645533376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645533376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887790960).

645533376 is an abundant number, since it is smaller than the sum of its proper divisors (1130048544).

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

645533376 is a wasteful number, since it uses less digits than its factorization.

645533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1152 counting only the distinct ones).

The product of its digits is 680400, while the sum is 42.

The square root of 645533376 is about 25407.3488581552. The cubic root of 645533376 is about 864.2503561182.

The spelling of 645533376 in words is "six hundred forty-five million, five hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 89 96 111 148 178 192 222 267 296 356 444 534 592 712 888 1021 1068 1184 1424 1776 2042 2136 2368 2848 3063 3293 3552 4084 4272 5696 6126 6586 7104 8168 8544 9879 12252 13172 16336 17088 19758 24504 26344 32672 37777 39516 49008 52688 65344 75554 79032 90869 98016 105376 113331 151108 158064 181738 196032 210752 226662 272607 302216 316128 363476 453324 545214 604432 632256 726952 906648 1090428 1208864 1453904 1813296 2180856 2417728 2907808 3362153 3626592 4361712 5815616 6724306 7253184 8723424 10086459 13448612 17446848 20172918 26897224 40345836 53794448 80691672 107588896 161383344 215177792 322766688 645533376