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47552940 = 22335107823
BaseRepresentation
bin1011010101100…
…1100110101100
310022110221101000
42311121212230
544133143230
64415120300
71115123211
oct265314654
9108427330
1047552940
112492a256
1213b13090
139b0c646
14645bb08
154294b60
hex2d599ac

47552940 has 96 divisors (see below), whose sum is σ = 149506560. Its totient is φ = 12547008.

The previous prime is 47552933. The next prime is 47553007. The reversal of 47552940 is 4925574.

It is a super-2 number, since 2×475529402 = 4522564205287200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47552895 and 47552904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57369 + ... + 58191.

It is an arithmetic number, because the mean of its divisors is an integer number (1557360).

Almost surely, 247552940 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 47552940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74753280).

47552940 is an abundant number, since it is smaller than the sum of its proper divisors (101953620).

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

47552940 is a wasteful number, since it uses less digits than its factorization.

47552940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 47552940 is about 6895.8639777768. The cubic root of 47552940 is about 362.2923170262.

The spelling of 47552940 in words is "forty-seven million, five hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 823 963 1070 1284 1605 1646 1926 2140 2469 2889 3210 3292 3852 4115 4815 4938 5778 6420 7407 8230 9630 9876 11556 12345 14445 14814 16460 19260 22221 24690 28890 29628 37035 44442 49380 57780 74070 88061 88884 111105 148140 176122 222210 264183 352244 440305 444420 528366 792549 880610 1056732 1320915 1585098 1761220 2377647 2641830 3170196 3962745 4755294 5283660 7925490 9510588 11888235 15850980 23776470 47552940