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1145326248 = 2332113146649
BaseRepresentation
bin100010001000100…
…0100101010101000
32221211010121020200
41010101010222220
54321200414443
6305352152200
740245053403
oct10421045250
92854117220
101145326248
11538563620
1227b698660
13153390951
14ac17ad3a
156a83add3
hex44444aa8

1145326248 has 96 divisors (see below), whose sum is σ = 3493152000. Its totient is φ = 335865600.

The previous prime is 1145326241. The next prime is 1145326271. The reversal of 1145326248 is 8426235411.

It is a happy number.

1145326248 is a `hidden beast` number, since 114 + 532 + 6 + 2 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1145326241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1228 + ... + 47876.

It is an arithmetic number, because the mean of its divisors is an integer number (36387000).

Almost surely, 21145326248 is an apocalyptic number.

1145326248 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 1145326248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746576000).

1145326248 is an abundant number, since it is smaller than the sum of its proper divisors (2347825752).

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

1145326248 is a wasteful number, since it uses less digits than its factorization.

1145326248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46703 (or 46696 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 1145326248 is about 33842.6690436792. The cubic root of 1145326248 is about 1046.2683097818.

The spelling of 1145326248 in words is "one billion, one hundred forty-five million, three hundred twenty-six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 31 33 36 44 62 66 72 88 93 99 124 132 186 198 248 264 279 341 372 396 558 682 744 792 1023 1116 1364 2046 2232 2728 3069 4092 6138 8184 12276 24552 46649 93298 139947 186596 279894 373192 419841 513139 559788 839682 1026278 1119576 1446119 1539417 1679364 2052556 2892238 3078834 3358728 4105112 4338357 4618251 5784476 6157668 8676714 9236502 11568952 12315336 13015071 15907309 17353428 18473004 26030142 31814618 34706856 36946008 47721927 52060284 63629236 95443854 104120568 127258472 143165781 190887708 286331562 381775416 572663124 1145326248