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47274304 = 2671153181
BaseRepresentation
bin1011010001010…
…1100101000000
310021221210011011
42310111211000
544100234204
64405130304
71112552650
oct264254500
9107853134
1047274304
1124759980
12139b9994
139a4287c
1463c8360
15423c304
hex2d15940

47274304 has 112 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 17971200.

The previous prime is 47274259. The next prime is 47274313. The reversal of 47274304 is 40347274.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261094 + ... + 261274.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 247274304 is an apocalyptic number.

47274304 is a gapful number since it is divisible by the number (44) 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 47274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

47274304 is an abundant number, since it is smaller than the sum of its proper divisors (72548672).

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

47274304 is a wasteful number, since it uses less digits than its factorization.

47274304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 31.

The square root of 47274304 is about 6875.6311710271. The cubic root of 47274304 is about 361.5833142900.

The spelling of 47274304 in words is "forty-seven million, two hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 53 56 64 77 88 106 112 154 176 181 212 224 308 352 362 371 424 448 583 616 704 724 742 848 1166 1232 1267 1448 1484 1696 1991 2332 2464 2534 2896 2968 3392 3982 4081 4664 4928 5068 5792 5936 7964 8162 9328 9593 10136 11584 11872 13937 15928 16324 18656 19186 20272 23744 27874 31856 32648 37312 38372 40544 55748 63712 65296 67151 76744 81088 105523 111496 127424 130592 134302 153488 211046 222992 261184 268604 306976 422092 445984 537208 613952 738661 844184 891968 1074416 1477322 1688368 2148832 2954644 3376736 4297664 5909288 6753472 11818576 23637152 47274304