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49987520 = 2651121291
BaseRepresentation
bin1011111010101…
…1111111000000
310111001121222122
42332223333000
5100244100040
64543223412
71144613132
oct276537700
9114047878
1049987520
1126242400
12148a7b68
13a48281b
1468d3052
1545c61b5
hex2fabfc0

49987520 has 84 divisors (see below), whose sum is σ = 130939032. Its totient is φ = 18163200.

The previous prime is 49987517. The next prime is 49987523. The reversal of 49987520 is 2578994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49987517) and next prime (49987523).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49987523) 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, 38075 + ... + 39365.

It is an arithmetic number, because the mean of its divisors is an integer number (1558798).

Almost surely, 249987520 is an apocalyptic number.

49987520 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 49987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65469516).

49987520 is an abundant number, since it is smaller than the sum of its proper divisors (80951512).

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

49987520 is a wasteful number, since it uses less digits than its factorization.

49987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 49987520 is about 7070.1852875296. The cubic root of 49987520 is about 368.3724961714.

The spelling of 49987520 in words is "forty-nine million, nine hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1291 1760 1936 2420 2582 3520 3872 4840 5164 6455 7744 9680 10328 12910 14201 19360 20656 25820 28402 38720 41312 51640 56804 71005 82624 103280 113608 142010 156211 206560 227216 284020 312422 413120 454432 568040 624844 781055 908864 1136080 1249688 1562110 2272160 2499376 3124220 4544320 4998752 6248440 9997504 12496880 24993760 49987520