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49329840 = 2435729363
BaseRepresentation
bin1011110000101…
…1011010110000
310102211012211010
42330023122300
5100112023330
64521150520
71136203530
oct274133260
9112735733
1049329840
112593326a
121462b440
13a2b2371
1467a14c0
1544e63b0
hex2f0b6b0

49329840 has 80 divisors (see below), whose sum is σ = 174774528. Its totient is φ = 11275008.

The previous prime is 49329827. The next prime is 49329851. The reversal of 49329840 is 4892394.

49329840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×493298402 = 4866866228851200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13002 + ... + 16361.

Almost surely, 249329840 is an apocalyptic number.

49329840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49329840 is an abundant number, since it is smaller than the sum of its proper divisors (125444688).

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

49329840 is a wasteful number, since it uses less digits than its factorization.

49329840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29386 (or 29380 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 49329840 is about 7023.5204847712. The cubic root of 49329840 is about 366.7498140178.

The spelling of 49329840 in words is "forty-nine million, three hundred twenty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 29363 58726 88089 117452 146815 176178 205541 234904 293630 352356 411082 440445 469808 587260 616623 704712 822164 880890 1027705 1174520 1233246 1409424 1644328 1761780 2055410 2349040 2466492 3083115 3288656 3523560 4110820 4932984 6166230 7047120 8221640 9865968 12332460 16443280 24664920 49329840