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248652984 = 23331210781
BaseRepresentation
bin11101101001000…
…10010010111000
3122022212212202210
432310202102320
51002123343414
640401255120
76106341546
oct1664422270
9568785683
10248652984
111183a3738
126b3344a0
133c690558
1425048d96
1516c69e59
hexed224b8

248652984 has 48 divisors (see below), whose sum is σ = 642391560. Its totient is φ = 80203200.

The previous prime is 248652979. The next prime is 248653003. The reversal of 248652984 is 489256842.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17674 + ... + 28454.

Almost surely, 2248652984 is an apocalyptic number.

248652984 is a gapful number since it is divisible by the number (24) 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 248652984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321195780).

248652984 is an abundant number, since it is smaller than the sum of its proper divisors (393738576).

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

248652984 is a wasteful number, since it uses less digits than its factorization.

248652984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10852 (or 10817 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 248652984 is about 15768.7343816807. The cubic root of 248652984 is about 628.8270642418.

The spelling of 248652984 in words is "two hundred forty-eight million, six hundred fifty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 961 1922 2883 3844 5766 7688 10781 11532 21562 23064 32343 43124 64686 86248 129372 258744 334211 668422 1002633 1336844 2005266 2673688 4010532 8021064 10360541 20721082 31081623 41442164 62163246 82884328 124326492 248652984