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49628440 = 23517591237
BaseRepresentation
bin1011110101010…
…0010100011000
310110101101102101
42331110110120
5100201102230
64531413144
71141556221
oct275242430
9113341371
1049628440
1126017644
12147541b4
13a388254
14683c248
154554aca
hex2f54518

49628440 has 64 divisors (see below), whose sum is σ = 120333600. Its totient is φ = 18352128.

The previous prime is 49628431. The next prime is 49628443. The reversal of 49628440 is 4482694.

It is a self number, because there is not a number n which added to its sum of digits gives 49628440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49628443) 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, 39502 + ... + 40738.

Almost surely, 249628440 is an apocalyptic number.

49628440 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 49628440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60166800).

49628440 is an abundant number, since it is smaller than the sum of its proper divisors (70705160).

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

49628440 is a wasteful number, since it uses less digits than its factorization.

49628440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 49628440 is about 7044.7455596352. The cubic root of 49628440 is about 367.4883208530.

The spelling of 49628440 in words is "forty-nine million, six hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 59 68 85 118 136 170 236 295 340 472 590 680 1003 1180 1237 2006 2360 2474 4012 4948 5015 6185 8024 9896 10030 12370 20060 21029 24740 40120 42058 49480 72983 84116 105145 145966 168232 210290 291932 364915 420580 583864 729830 841160 1240711 1459660 2481422 2919320 4962844 6203555 9925688 12407110 24814220 49628440