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47240688 = 243111719277
BaseRepresentation
bin1011010000110…
…1010111110000
310021220002001010
42310031113300
544043200223
64404310520
71112352645
oct264152760
9107802033
1047240688
11247366a0
12139a2440
139a30491
1463b9dcc
154232393
hex2d0d5f0

47240688 has 160 divisors (see below), whose sum is σ = 148919040. Its totient is φ = 12718080.

The previous prime is 47240663. The next prime is 47240693. The reversal of 47240688 is 88604274.

47240688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 170406 + ... + 170682.

It is an arithmetic number, because the mean of its divisors is an integer number (930744).

Almost surely, 247240688 is an apocalyptic number.

47240688 is a gapful number since it is divisible by the number (48) 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 47240688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74459520).

47240688 is an abundant number, since it is smaller than the sum of its proper divisors (101678352).

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

47240688 is a wasteful number, since it uses less digits than its factorization.

47240688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 47240688 is about 6873.1861607263. The cubic root of 47240688 is about 361.4975886006.

The spelling of 47240688 in words is "forty-seven million, two hundred forty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 19 22 24 33 34 38 44 48 51 57 66 68 76 88 102 114 132 136 152 176 187 204 209 228 264 272 277 304 323 374 408 418 456 528 554 561 627 646 748 816 831 836 912 969 1108 1122 1254 1292 1496 1662 1672 1938 2216 2244 2508 2584 2992 3047 3324 3344 3553 3876 4432 4488 4709 5016 5168 5263 6094 6648 7106 7752 8976 9141 9418 10032 10526 10659 12188 13296 14127 14212 15504 15789 18282 18836 21052 21318 24376 28254 28424 31578 36564 37672 42104 42636 48752 51799 56508 56848 57893 63156 73128 75344 84208 85272 89471 103598 113016 115786 126312 146256 155397 170544 173679 178942 207196 226032 231572 252624 268413 310794 347358 357884 414392 463144 536826 621588 694716 715768 828784 926288 984181 1073652 1243176 1389432 1431536 1968362 2147304 2486352 2778864 2952543 3936724 4294608 5905086 7873448 11810172 15746896 23620344 47240688