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69930048 = 263312379
BaseRepresentation
bin1000010101100…
…00110001000000
311212120210222210
410022300301000
5120400230143
610534502120
71506252456
oct412606100
9155523883
1069930048
1136523531
121b504940
1311645a36
1494049d6
156215033
hex42b0c40

69930048 has 84 divisors (see below), whose sum is σ = 191688720. Its totient is φ = 22498560.

The previous prime is 69930043. The next prime is 69930053. The reversal of 69930048 is 84003996.

It is an interprime number because it is at equal distance from previous prime (69930043) and next prime (69930053).

It is a super-2 number, since 2×699300482 = 9780423226564608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 69929988 and 69930015.

It is not an unprimeable number, because it can be changed into a prime (69930041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184323 + ... + 184701.

Almost surely, 269930048 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 69930048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95844360).

69930048 is an abundant number, since it is smaller than the sum of its proper divisors (121758672).

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

69930048 is a wasteful number, since it uses less digits than its factorization.

69930048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 69930048 is about 8362.4187888433. The cubic root of 69930048 is about 411.9912022503.

The spelling of 69930048 in words is "sixty-nine million, nine hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 379 496 744 758 961 992 1137 1488 1516 1922 1984 2274 2883 2976 3032 3844 4548 5766 5952 6064 7688 9096 11532 11749 12128 15376 18192 23064 23498 24256 30752 35247 36384 46128 46996 61504 70494 72768 92256 93992 140988 184512 187984 281976 364219 375968 563952 728438 751936 1092657 1127904 1456876 2185314 2255808 2913752 4370628 5827504 8741256 11655008 17482512 23310016 34965024 69930048