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47274240 = 283513947
BaseRepresentation
bin1011010001010…
…1100100000000
310021221210001210
42310111210000
544100233430
64405130120
71112552526
oct264254400
9107853053
1047274240
1124759922
12139b9940
139a42830
1463c8316
15423c2b0
hex2d15900

47274240 has 144 divisors (see below), whose sum is σ = 162767808. Its totient is φ = 11624448.

The previous prime is 47274221. The next prime is 47274247. The reversal of 47274240 is 4247274.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47274198 and 47274207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47274247) 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, 49447 + ... + 50393.

It is an arithmetic number, because the mean of its divisors is an integer number (1130332).

Almost surely, 247274240 is an apocalyptic number.

47274240 is a gapful number since it is divisible by the number (40) 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 47274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81383904).

47274240 is an abundant number, since it is smaller than the sum of its proper divisors (115493568).

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

47274240 is a wasteful number, since it uses less digits than its factorization.

47274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 47274240 is about 6875.6265169074. The cubic root of 47274240 is about 361.5831511193.

The spelling of 47274240 in words is "forty-seven million, two hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 947 960 1040 1248 1280 1560 1664 1894 1920 2080 2496 2841 3120 3328 3788 3840 4160 4735 4992 5682 6240 7576 8320 9470 9984 11364 12311 12480 14205 15152 16640 18940 22728 24622 24960 28410 30304 36933 37880 45456 49244 49920 56820 60608 61555 73866 75760 90912 98488 113640 121216 123110 147732 151520 181824 184665 196976 227280 242432 246220 295464 303040 363648 369330 393952 454560 492440 590928 606080 727296 738660 787904 909120 984880 1181856 1212160 1477320 1575808 1818240 1969760 2363712 2954640 3151616 3636480 3939520 4727424 5909280 7879040 9454848 11818560 15758080 23637120 47274240