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47940096 = 29323259
BaseRepresentation
bin1011011011100…
…0001000000000
310100012121110010
42312320020000
544233040341
64431304520
71121325021
oct266701000
9110177403
1047940096
1125074116
121407b140
139c16929
14651cc48
15431e716
hex2db8200

47940096 has 120 divisors (see below), whose sum is σ = 135772560. Its totient is φ = 15026176.

The previous prime is 47940091. The next prime is 47940133. The reversal of 47940096 is 69004974.

It is not an unprimeable number, because it can be changed into a prime (47940091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 812515 + ... + 812573.

It is an arithmetic number, because the mean of its divisors is an integer number (1131438).

Almost surely, 247940096 is an apocalyptic number.

47940096 is a gapful number since it is divisible by the number (46) 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 47940096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886280).

47940096 is an abundant number, since it is smaller than the sum of its proper divisors (87832464).

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

47940096 is an equidigital number, since it uses as much as digits as its factorization.

47940096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 47940096 is about 6923.8786817795. The cubic root of 47940096 is about 363.2728711967.

The spelling of 47940096 in words is "forty-seven million, nine hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 64 69 92 96 118 128 138 177 184 192 236 256 276 354 368 384 472 512 529 552 708 736 768 944 1058 1104 1357 1416 1472 1536 1587 1888 2116 2208 2714 2832 2944 3174 3776 4071 4232 4416 5428 5664 5888 6348 7552 8142 8464 8832 10856 11328 11776 12696 15104 16284 16928 17664 21712 22656 25392 30208 31211 32568 33856 35328 43424 45312 50784 62422 65136 67712 86848 90624 93633 101568 124844 130272 135424 173696 187266 203136 249688 260544 270848 347392 374532 406272 499376 521088 694784 749064 812544 998752 1042176 1498128 1997504 2084352 2996256 3995008 5992512 7990016 11985024 15980032 23970048 47940096