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1991254248 = 2332315915121
BaseRepresentation
bin111011010110000…
…0010000011101000
312010202220012022100
41312230002003220
513034230113443
6525331253400
7100226244654
oct16654020350
95122805270
101991254248
11932013875
12476a4a260
13259704669
1414c65da64
15b9c363d3
hex76b020e8

1991254248 has 96 divisors (see below), whose sum is σ = 5661676800. Its totient is φ = 631411200.

The previous prime is 1991254241. The next prime is 1991254303. The reversal of 1991254248 is 8424521991.

It is a happy number.

1991254248 is a `hidden beast` number, since 1 + 99 + 12 + 542 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1991254241) 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 23 ways as a sum of consecutive naturals, for example, 124128 + ... + 139248.

It is an arithmetic number, because the mean of its divisors is an integer number (58975800).

Almost surely, 21991254248 is an apocalyptic number.

1991254248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1991254248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830838400).

1991254248 is an abundant number, since it is smaller than the sum of its proper divisors (3670422552).

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

1991254248 is a wasteful number, since it uses less digits than its factorization.

1991254248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15223 (or 15216 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1991254248 is about 44623.4719402245. The cubic root of 1991254248 is about 1258.0818736138.

The spelling of 1991254248 in words is "one billion, nine hundred ninety-one million, two hundred fifty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 59 62 72 93 118 124 177 186 236 248 279 354 372 472 531 558 708 744 1062 1116 1416 1829 2124 2232 3658 4248 5487 7316 10974 14632 15121 16461 21948 30242 32922 43896 45363 60484 65844 90726 120968 131688 136089 181452 272178 362904 468751 544356 892139 937502 1088712 1406253 1784278 1875004 2676417 2812506 3568556 3750008 4218759 5352834 5625012 7137112 8029251 8437518 10705668 11250024 16058502 16875036 21411336 27656309 32117004 33750072 55312618 64234008 82968927 110625236 165937854 221250472 248906781 331875708 497813562 663751416 995627124 1991254248