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47053920 = 2535167587
BaseRepresentation
bin1011001101111…
…1110001100000
310021112120211210
42303133301200
544021211140
64400310120
71110644304
oct263376140
9107476753
1047053920
1124619341
1213912340
139996474
14636bd04
1541e6d80
hex2cdfc60

47053920 has 96 divisors (see below), whose sum is σ = 149361408. Its totient is φ = 12451328.

The previous prime is 47053913. The next prime is 47053927. The reversal of 47053920 is 2935074.

It is an interprime number because it is at equal distance from previous prime (47053913) and next prime (47053927).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47053927) 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, 79867 + ... + 80453.

It is an arithmetic number, because the mean of its divisors is an integer number (1555848).

Almost surely, 247053920 is an apocalyptic number.

47053920 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 47053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74680704).

47053920 is an abundant number, since it is smaller than the sum of its proper divisors (102307488).

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

47053920 is a wasteful number, since it uses less digits than its factorization.

47053920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 47053920 is about 6859.5859933381. The cubic root of 47053920 is about 361.0205608770.

Adding to 47053920 its reverse (2935074), we get a palindrome (49988994).

The spelling of 47053920 in words is "forty-seven million, fifty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 167 240 334 480 501 587 668 835 1002 1174 1336 1670 1761 2004 2348 2505 2672 2935 3340 3522 4008 4696 5010 5344 5870 6680 7044 8016 8805 9392 10020 11740 13360 14088 16032 17610 18784 20040 23480 26720 28176 35220 40080 46960 56352 70440 80160 93920 98029 140880 196058 281760 294087 392116 490145 588174 784232 980290 1176348 1470435 1568464 1960580 2352696 2940870 3136928 3921160 4705392 5881740 7842320 9410784 11763480 15684640 23526960 47053920