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1213037952 = 2737451279
BaseRepresentation
bin100100001001101…
…0111110110000000
310010112112201020120
41020103113312000
54441014203302
6320211340240
742026436540
oct11023276600
93115481216
101213037952
11572801405
1229a2b1680
1316440aa49
14b7165320
15717639bc
hex484d7d80

1213037952 has 64 divisors (see below), whose sum is σ = 3682444800. Its totient is φ = 346581504.

The previous prime is 1213037951. The next prime is 1213037953. The reversal of 1213037952 is 2597303121.

It is an interprime number because it is at equal distance from previous prime (1213037951) and next prime (1213037953).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12130379522 = 2942922145984708608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213037951) 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 7 ways as a sum of consecutive naturals, for example, 222952 + ... + 228327.

It is an arithmetic number, because the mean of its divisors is an integer number (57538200).

Almost surely, 21213037952 is an apocalyptic number.

1213037952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1213037952 is an abundant number, since it is smaller than the sum of its proper divisors (2469406848).

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

1213037952 is an equidigital number, since it uses as much as digits as its factorization.

1213037952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451303 (or 451291 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 1213037952 is about 34828.6943769071. The cubic root of 1213037952 is about 1066.4932954337.

The spelling of 1213037952 in words is "one billion, two hundred thirteen million, thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 451279 902558 1353837 1805116 2707674 3158953 3610232 5415348 6317906 7220464 9476859 10830696 12635812 14440928 18953718 21661392 25271624 28881856 37907436 43322784 50543248 57763712 75814872 86645568 101086496 151629744 173291136 202172992 303259488 404345984 606518976 1213037952