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49280448 = 263737991
BaseRepresentation
bin1011101111111…
…1010111000000
310102201201001210
42323333113000
5100103433243
64520130120
71135606530
oct273772700
9112651053
1049280448
11258aa148
1214606940
13a295a39
14678b4c0
1544d6933
hex2eff5c0

49280448 has 112 divisors (see below), whose sum is σ = 153196544. Its totient is φ = 13685760.

The previous prime is 49280431. The next prime is 49280459. The reversal of 49280448 is 84408294.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49233 + ... + 50223.

Almost surely, 249280448 is an apocalyptic number.

49280448 is a gapful number since it is divisible by the number (48) 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 49280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76598272).

49280448 is an abundant number, since it is smaller than the sum of its proper divisors (103916096).

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

49280448 is a wasteful number, since it uses less digits than its factorization.

49280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 49280448 is about 7020.0034188026. The cubic root of 49280448 is about 366.6273691585.

The spelling of 49280448 in words is "forty-nine million, two hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 991 1036 1184 1344 1554 1776 1982 2072 2368 2973 3108 3552 3964 4144 5946 6216 6937 7104 7928 8288 11892 12432 13874 15856 16576 20811 23784 24864 27748 31712 36667 41622 47568 49728 55496 63424 73334 83244 95136 110001 110992 146668 166488 190272 220002 221984 256669 293336 332976 440004 443968 513338 586672 665952 770007 880008 1026676 1173344 1331904 1540014 1760016 2053352 2346688 3080028 3520032 4106704 6160056 7040064 8213408 12320112 16426816 24640224 49280448