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1030745248 = 251341223271
BaseRepresentation
bin111101011011111…
…110110010100000
32122211112021122221
4331123332302200
54102332321443
6250140240424
734354122121
oct7533766240
92584467587
101030745248
11489913185
12249240114
13135713440
149ac72048
1560755eed
hex3d6feca0

1030745248 has 96 divisors (see below), whose sum is σ = 2257016832. Its totient is φ = 460339200.

The previous prime is 1030745239. The next prime is 1030745267. The reversal of 1030745248 is 8425470301.

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, 3803353 + ... + 3803623.

It is an arithmetic number, because the mean of its divisors is an integer number (23510592).

Almost surely, 21030745248 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 1030745248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128508416).

1030745248 is an abundant number, since it is smaller than the sum of its proper divisors (1226271584).

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

1030745248 is a wasteful number, since it uses less digits than its factorization.

1030745248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 1030745248 is about 32105.2215067892. The cubic root of 1030745248 is about 1010.1451439939.

It can be divided in two parts, 10307 and 45248, that added together give a palindrome (55555).

The spelling of 1030745248 in words is "one billion, thirty million, seven hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 104 164 208 223 271 328 416 446 533 542 656 892 1066 1084 1312 1784 2132 2168 2899 3523 3568 4264 4336 5798 7046 7136 8528 8672 9143 11111 11596 14092 17056 18286 22222 23192 28184 36572 44444 46384 56368 60433 73144 88888 92768 112736 118859 120866 144443 146288 177776 237718 241732 288886 292576 355552 475436 483464 577772 785629 950872 966928 1155544 1571258 1901744 1933856 2311088 2477753 3142516 3803488 4622176 4955506 6285032 9911012 12570064 19822024 25140128 32210789 39644048 64421578 79288096 128843156 257686312 515372624 1030745248