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1150225984 = 26173167509
BaseRepresentation
bin100010010001111…
…0000111001000000
32222011100112102101
41010203300321000
54323424212414
6310045200144
740334521345
oct10443607100
92864315371
101150225984
115402aa896
12281260054
131543b7bbb
14aca947cc
156aea7a74
hex448f0e40

1150225984 has 112 divisors (see below), whose sum is σ = 2536911360. Its totient is φ = 514990080.

The previous prime is 1150225969. The next prime is 1150225987. The reversal of 1150225984 is 4895220511.

It is not an unprimeable number, because it can be changed into a prime (1150225987) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2259522 + ... + 2260030.

Almost surely, 21150225984 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 1150225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268455680).

1150225984 is an abundant number, since it is smaller than the sum of its proper divisors (1386685376).

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

1150225984 is a wasteful number, since it uses less digits than its factorization.

1150225984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 1150225984 is about 33914.9817042557. The cubic root of 1150225984 is about 1047.7581750758.

The spelling of 1150225984 in words is "one billion, one hundred fifty million, two hundred twenty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 67 68 124 134 136 248 268 272 496 509 527 536 544 992 1018 1054 1072 1088 1139 1984 2036 2077 2108 2144 2278 4072 4154 4216 4288 4556 8144 8308 8432 8653 9112 15779 16288 16616 16864 17306 18224 31558 32576 33232 33728 34103 34612 35309 36448 63116 66464 68206 69224 70618 72896 126232 132928 136412 138448 141236 252464 268243 272824 276896 282472 504928 536486 545648 553792 564944 579751 1009856 1057193 1072972 1091296 1129888 1159502 2114386 2145944 2182592 2259776 2319004 4228772 4291888 4638008 8457544 8583776 9276016 16915088 17167552 17972281 18552032 33830176 35944562 37104064 67660352 71889124 143778248 287556496 575112992 1150225984