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23247672 = 2337711949
BaseRepresentation
bin101100010101…
…1101100111000
31121202002210220
41120223230320
521422411142
62150140040
7401413320
oct130535470
947662726
1023247672
1112139358
127951620
134a7c726
143132280
1520932ec
hex162bb38

23247672 has 64 divisors (see below), whose sum is σ = 67392000. Its totient is φ = 6545280.

The previous prime is 23247671. The next prime is 23247673. The reversal of 23247672 is 27674232.

It is an interprime number because it is at equal distance from previous prime (23247671) and next prime (23247673).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23247671) 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 15 ways as a sum of consecutive naturals, for example, 10954 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 223247672 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 23247672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33696000).

23247672 is an abundant number, since it is smaller than the sum of its proper divisors (44144328).

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

23247672 is a wasteful number, since it uses less digits than its factorization.

23247672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2032 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 23247672 is about 4821.5839720988. The cubic root of 23247672 is about 285.4038472963.

The spelling of 23247672 in words is "twenty-three million, two hundred forty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 71 84 142 168 213 284 426 497 568 852 994 1491 1704 1949 1988 2982 3898 3976 5847 5964 7796 11694 11928 13643 15592 23388 27286 40929 46776 54572 81858 109144 138379 163716 276758 327432 415137 553516 830274 968653 1107032 1660548 1937306 2905959 3321096 3874612 5811918 7749224 11623836 23247672