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2530514944 = 21129137311
BaseRepresentation
bin1001011011010100…
…1001100000000000
320112100121110220201
42112311021200000
520140302434234
61055033414544
7116465010406
oct22665114000
96470543821
102530514944
111089456371
125a756a454
13314354929
141a0115476
15ec257314
hex96d49800

2530514944 has 96 divisors (see below), whose sum is σ = 5289429600. Its totient is φ = 1208811520.

The previous prime is 2530514933. The next prime is 2530514953. The reversal of 2530514944 is 4494150352.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8136549 + ... + 8136859.

It is an arithmetic number, because the mean of its divisors is an integer number (55098225).

Almost surely, 22530514944 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 2530514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644714800).

2530514944 is an abundant number, since it is smaller than the sum of its proper divisors (2758914656).

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

2530514944 is a wasteful number, since it uses less digits than its factorization.

2530514944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 2530514944 is about 50304.2239180767. The cubic root of 2530514944 is about 1362.7085123074.

The spelling of 2530514944 in words is "two billion, five hundred thirty million, five hundred fourteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 311 464 512 548 622 928 1024 1096 1244 1856 2048 2192 2488 3712 3973 4384 4976 7424 7946 8768 9019 9952 14848 15892 17536 18038 19904 29696 31784 35072 36076 39808 42607 59392 63568 70144 72152 79616 85214 127136 140288 144304 159232 170428 254272 280576 288608 318464 340856 508544 577216 636928 681712 1017088 1154432 1235603 1363424 2034176 2308864 2471206 2726848 4068352 4617728 4942412 5453696 8136704 9235456 9884824 10907392 18470912 19769648 21814784 39539296 43629568 79078592 87259136 158157184 316314368 632628736 1265257472 2530514944