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247051992 = 233112241353
BaseRepresentation
bin11101011100110…
…11011011011000
3122012212112121210
432232123123120
51001221130432
640303103120
76056623125
oct1656333330
9565775553
10247051992
111174aa900
126a8a1aa0
133c24c915
1424b4d74c
1516a508cc
hexeb9b6d8

247051992 has 96 divisors (see below), whose sum is σ = 683630640. Its totient is φ = 74342400.

The previous prime is 247051991. The next prime is 247051999. The reversal of 247051992 is 299150742.

It is a super-2 number, since 2×2470519922 = 122069373502336128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247051992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247051991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 699688 + ... + 700040.

Almost surely, 2247051992 is an apocalyptic number.

247051992 is a gapful number since it is divisible by the number (22) 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 247051992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341815320).

247051992 is an abundant number, since it is smaller than the sum of its proper divisors (436578648).

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

247051992 is a wasteful number, since it uses less digits than its factorization.

247051992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 247051992 is about 15717.8876443369. The cubic root of 247051992 is about 627.4745560917.

The spelling of 247051992 in words is "two hundred forty-seven million, fifty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 241 242 264 353 363 482 484 706 723 726 964 968 1059 1412 1446 1452 1928 2118 2651 2824 2892 2904 3883 4236 5302 5784 7766 7953 8472 10604 11649 15532 15906 21208 23298 29161 31064 31812 42713 46596 58322 63624 85073 85426 87483 93192 116644 128139 170146 170852 174966 233288 255219 256278 340292 341704 349932 510438 512556 680584 699864 935803 1020876 1025112 1871606 2041752 2807409 3743212 5614818 7486424 10293833 11229636 20587666 22459272 30881499 41175332 61762998 82350664 123525996 247051992