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248653608 = 23371977899
BaseRepresentation
bin11101101001000…
…10011100101000
3122022212220121220
432310202130220
51002123403413
640401302040
76106343430
oct1664423450
9568786556
10248653608
111183a4155
126b334920
133c690918
14250492c0
1516c6a223
hexed22728

248653608 has 64 divisors (see below), whose sum is σ = 747840000. Its totient is φ = 67303872.

The previous prime is 248653501. The next prime is 248653633. The reversal of 248653608 is 806356842.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 248653608.

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 15 ways as a sum of consecutive naturals, for example, 35758 + ... + 42141.

It is an arithmetic number, because the mean of its divisors is an integer number (11685000).

Almost surely, 2248653608 is an apocalyptic number.

248653608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248653608 is an abundant number, since it is smaller than the sum of its proper divisors (499186392).

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

248653608 is a wasteful number, since it uses less digits than its factorization.

248653608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77934 (or 77930 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 248653608 is about 15768.7541676570. The cubic root of 248653608 is about 628.8275902597.

The spelling of 248653608 in words is "two hundred forty-eight million, six hundred fifty-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 77899 155798 233697 311596 467394 545293 623192 934788 1090586 1480081 1635879 1869576 2181172 2960162 3271758 4362344 4440243 5920324 6543516 8880486 10360567 11840648 13087032 17760972 20721134 31081701 35521944 41442268 62163402 82884536 124326804 248653608