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47706768 = 24323110687
BaseRepresentation
bin1011010111111…
…1001010010000
310022202202101100
42311333022100
544203104033
64422304400
71116333534
oct265771220
9108682340
1047706768
1124a2488a
1213b88100
139b64675
14649bbc4
1542c5513
hex2d7f290

47706768 has 60 divisors (see below), whose sum is σ = 137832448. Its totient is φ = 15387840.

The previous prime is 47706767. The next prime is 47706773. The reversal of 47706768 is 86760774.

It is not an unprimeable number, because it can be changed into a prime (47706767) 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, 880 + ... + 9807.

Almost surely, 247706768 is an apocalyptic number.

47706768 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 47706768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68916224).

47706768 is an abundant number, since it is smaller than the sum of its proper divisors (90125680).

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

47706768 is a wasteful number, since it uses less digits than its factorization.

47706768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10732 (or 10723 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 47706768 is about 6907.0086144437. The cubic root of 47706768 is about 362.6825537903.

The spelling of 47706768 in words is "forty-seven million, seven hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 10687 21374 32061 42748 64122 85496 96183 128244 170992 192366 256488 331297 384732 512976 662594 769464 993891 1325188 1538928 1987782 2650376 2981673 3975564 5300752 5963346 7951128 11926692 15902256 23853384 47706768