Search a number
-
+
2532301056 = 28374523
BaseRepresentation
bin1001011011101111…
…1101100100000000
320112110222020000000
42112323331210000
520141232113211
61055140000000
7116516126625
oct22673754400
96473866000
102532301056
11108a46629a
125a8090000
1331482b8bc
141a045c34c
15ec4ab656
hex96efd900

2532301056 has 144 divisors (see below), whose sum is σ = 7582585920. Its totient is φ = 843913728.

The previous prime is 2532301049. The next prime is 2532301067. The reversal of 2532301056 is 6501032352.

2532301056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557611 + ... + 562133.

Almost surely, 22532301056 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 2532301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791292960).

2532301056 is an abundant number, since it is smaller than the sum of its proper divisors (5050284864).

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

2532301056 is an frugal number, since it uses more digits than its factorization.

2532301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2532301056 is about 50321.9738881535. The cubic root of 2532301056 is about 1363.0290501760.

The spelling of 2532301056 in words is "two billion, five hundred thirty-two million, three hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2187 2304 2592 2916 3456 3888 4374 4523 5184 5832 6912 7776 8748 9046 10368 11664 13569 15552 17496 18092 20736 23328 27138 31104 34992 36184 40707 46656 54276 62208 69984 72368 81414 93312 108552 122121 139968 144736 162828 186624 217104 244242 279936 289472 325656 366363 434208 488484 559872 578944 651312 732726 868416 976968 1099089 1157888 1302624 1465452 1736832 1953936 2198178 2605248 2930904 3297267 3473664 3907872 4396356 5210496 5861808 6594534 7815744 8792712 9891801 10420992 11723616 13189068 15631488 17585424 19783602 23447232 26378136 31262976 35170848 39567204 46894464 52756272 70341696 79134408 93788928 105512544 140683392 158268816 211025088 281366784 316537632 422050176 633075264 844100352 1266150528 2532301056