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49140672 = 263736563
BaseRepresentation
bin1011101101110…
…1001111000000
310102110121022220
42323131033000
5100040000142
64513131040
71134455160
oct273351700
9112417286
1049140672
1125814129
1214559a80
13a247229
1467525a0
1544aa2ec
hex2edd3c0

49140672 has 56 divisors (see below), whose sum is σ = 148596096. Its totient is φ = 14039808.

The previous prime is 49140643. The next prime is 49140677. The reversal of 49140672 is 27604194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×491406723 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49140677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16938 + ... + 19625.

Almost surely, 249140672 is an apocalyptic number.

49140672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

49140672 is an abundant number, since it is smaller than the sum of its proper divisors (99455424).

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

49140672 is a wasteful number, since it uses less digits than its factorization.

49140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36585 (or 36575 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 49140672 is about 7010.0407987400. The cubic root of 49140672 is about 366.2804145631.

The spelling of 49140672 in words is "forty-nine million, one hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 36563 73126 109689 146252 219378 255941 292504 438756 511882 585008 767823 877512 1023764 1170016 1535646 1755024 2047528 2340032 3071292 3510048 4095056 6142584 7020096 8190112 12285168 16380224 24570336 49140672