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49462944 = 2531274057
BaseRepresentation
bin1011110010101…
…1111010100000
310110001222101220
42330223322200
5100130303234
64524055040
71140266556
oct274537240
9113058356
1049462944
1125a14273
1214694480
13a32ab1b
1467d7bd6
154520a49
hex2f2bea0

49462944 has 48 divisors (see below), whose sum is σ = 130894848. Its totient is φ = 16353792.

The previous prime is 49462921. The next prime is 49462967. The reversal of 49462944 is 44926494.

It is an interprime number because it is at equal distance from previous prime (49462921) and next prime (49462967).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 49462896 and 49462905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10164 + ... + 14220.

It is an arithmetic number, because the mean of its divisors is an integer number (2726976).

Almost surely, 249462944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49462944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65447424).

49462944 is an abundant number, since it is smaller than the sum of its proper divisors (81431904).

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

49462944 is a wasteful number, since it uses less digits than its factorization.

49462944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4197 (or 4189 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 49462944 is about 7032.9896914470. The cubic root of 49462944 is about 367.0793780790.

The spelling of 49462944 in words is "forty-nine million, four hundred sixty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4057 4064 6096 8114 12171 12192 16228 24342 32456 48684 64912 97368 129824 194736 389472 515239 1030478 1545717 2060956 3091434 4121912 6182868 8243824 12365736 16487648 24731472 49462944