Search a number
-
+
49153280 = 285113491
BaseRepresentation
bin1011101110000…
…0010100000000
310102111020121212
42323200110000
5100040401110
64513305252
71134540011
oct273402400
9112436555
1049153280
1125822650
1214565228
13a24cba7
146757008
1544ade05
hex2ee0500

49153280 has 72 divisors (see below), whose sum is σ = 128477664. Its totient is φ = 17868800.

The previous prime is 49153267. The next prime is 49153283. The reversal of 49153280 is 8235194.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49153283) 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, 12335 + ... + 15825.

It is an arithmetic number, because the mean of its divisors is an integer number (1784412).

Almost surely, 249153280 is an apocalyptic number.

49153280 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 49153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64238832).

49153280 is an abundant number, since it is smaller than the sum of its proper divisors (79324384).

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

49153280 is a wasteful number, since it uses less digits than its factorization.

49153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 49153280 is about 7010.9400225647. The cubic root of 49153280 is about 366.3117373512.

The spelling of 49153280 in words is "forty-nine million, one hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3491 3520 6982 7040 13964 14080 17455 27928 34910 38401 55856 69820 76802 111712 139640 153604 192005 223424 279280 307208 384010 446848 558560 614416 768020 893696 1117120 1228832 1536040 2234240 2457664 3072080 4468480 4915328 6144160 9830656 12288320 24576640 49153280