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47334048 = 2535961137
BaseRepresentation
bin1011010010010…
…0001010100000
310022001211002220
42310210022200
544104142143
64410311040
71113222066
oct264441240
9108054086
1047334048
112479a853
1213a28480
139a63b18
146402036
15424ed83
hex2d242a0

47334048 has 96 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 15144960.

The previous prime is 47334041. The next prime is 47334101. The reversal of 47334048 is 84043374.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (47334041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345436 + ... + 345572.

It is an arithmetic number, because the mean of its divisors is an integer number (1347570).

Almost surely, 247334048 is an apocalyptic number.

47334048 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 47334048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

47334048 is an abundant number, since it is smaller than the sum of its proper divisors (82032672).

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

47334048 is a wasteful number, since it uses less digits than its factorization.

47334048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 47334048 is about 6879.9744185571. The cubic root of 47334048 is about 361.7355699405.

The spelling of 47334048 in words is "forty-seven million, three hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 61 96 118 122 137 177 183 236 244 274 354 366 411 472 488 548 708 732 822 944 976 1096 1416 1464 1644 1888 1952 2192 2832 2928 3288 3599 4384 5664 5856 6576 7198 8083 8357 10797 13152 14396 16166 16714 21594 24249 25071 28792 32332 33428 43188 48498 50142 57584 64664 66856 86376 96996 100284 115168 129328 133712 172752 193992 200568 258656 267424 345504 387984 401136 493063 775968 802272 986126 1479189 1972252 2958378 3944504 5916756 7889008 11833512 15778016 23667024 47334048