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49828608 = 283789
BaseRepresentation
bin1011111000010…
…1001100000000
310110202120000000
42332011030000
5100224003413
64540000000
71143351624
oct276051400
9113676000
1049828608
1126143a75
1214830000
13a4283ab
146891184
154594073
hex2f85300

49828608 has 144 divisors (see below), whose sum is σ = 150847200. Its totient is φ = 16422912.

The previous prime is 49828591. The next prime is 49828613. The reversal of 49828608 is 80682894.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 559828 + ... + 559916.

It is an arithmetic number, because the mean of its divisors is an integer number (1047550).

Almost surely, 249828608 is an apocalyptic number.

49828608 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 49828608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423600).

49828608 is an abundant number, since it is smaller than the sum of its proper divisors (101018592).

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

49828608 is an frugal number, since it uses more digits than its factorization.

49828608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 49828608 is about 7058.9381637751. The cubic root of 49828608 is about 367.9817256206.

The spelling of 49828608 in words is "forty-nine million, eight hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 89 96 108 128 144 162 178 192 216 243 256 267 288 324 356 384 432 486 534 576 648 712 729 768 801 864 972 1068 1152 1296 1424 1458 1602 1728 1944 2136 2187 2304 2403 2592 2848 2916 3204 3456 3888 4272 4374 4806 5184 5696 5832 6408 6912 7209 7776 8544 8748 9612 10368 11392 11664 12816 14418 15552 17088 17496 19224 20736 21627 22784 23328 25632 28836 31104 34176 34992 38448 43254 46656 51264 57672 62208 64881 68352 69984 76896 86508 93312 102528 115344 129762 139968 153792 173016 186624 194643 205056 230688 259524 279936 307584 346032 389286 461376 519048 559872 615168 692064 778572 922752 1038096 1384128 1557144 1845504 2076192 2768256 3114288 4152384 5536512 6228576 8304768 12457152 16609536 24914304 49828608