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47054040 = 23351143829
BaseRepresentation
bin1011001101111…
…1110011011000
310021112121000020
42303133303120
544021212130
64400310440
71110644535
oct263376330
9107477006
1047054040
1124619440
1213912420
139996537
14636bd8c
1541e6e10
hex2cdfcd8

47054040 has 128 divisors (see below), whose sum is σ = 157766400. Its totient is φ = 11128320.

The previous prime is 47054023. The next prime is 47054053. The reversal of 47054040 is 4045074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 47054040.

It is a congruent number.

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, 56346 + ... + 57174.

It is an arithmetic number, because the mean of its divisors is an integer number (1232550).

Almost surely, 247054040 is an apocalyptic number.

47054040 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 47054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78883200).

47054040 is an abundant number, since it is smaller than the sum of its proper divisors (110712360).

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

47054040 is a wasteful number, since it uses less digits than its factorization.

47054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 47054040 is about 6859.5947402161. The cubic root of 47054040 is about 361.0208677762.

The spelling of 47054040 in words is "forty-seven million, fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 829 860 946 1032 1290 1320 1419 1658 1720 1892 2365 2487 2580 2838 3316 3784 4145 4730 4974 5160 5676 6632 7095 8290 9119 9460 9948 11352 12435 14190 16580 18238 18920 19896 24870 27357 28380 33160 35647 36476 45595 49740 54714 56760 71294 72952 91190 99480 106941 109428 136785 142588 178235 182380 213882 218856 273570 285176 356470 364760 392117 427764 534705 547140 712940 784234 855528 1069410 1094280 1176351 1425880 1568468 1960585 2138820 2352702 3136936 3921170 4277640 4705404 5881755 7842340 9410808 11763510 15684680 23527020 47054040