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48734976 = 283233189
BaseRepresentation
bin1011100111101…
…0001100000000
310101200222211010
42321322030000
544434004401
64500320520
71131145323
oct271721400
9111628733
1048734976
1125567344
12143a3140
13a134684
1466887ba
154429ed6
hex2e7a300

48734976 has 144 divisors (see below), whose sum is σ = 141281280. Its totient is φ = 14868480.

The previous prime is 48734963. The next prime is 48734989. The reversal of 48734976 is 67943784.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48734963) and next prime (48734989).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1016064) is a multiple of the sum of its prime factors (162).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547540 + ... + 547628.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 248734976 is an apocalyptic number.

48734976 is a gapful number since it is divisible by the number (46) 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 48734976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70640640).

48734976 is an abundant number, since it is smaller than the sum of its proper divisors (92546304).

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

48734976 is a wasteful number, since it uses less digits than its factorization.

48734976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 48734976 is about 6981.0440479917. The cubic root of 48734976 is about 365.2696474966.

The spelling of 48734976 in words is "forty-eight million, seven hundred thirty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 89 92 93 96 124 128 138 178 184 186 192 248 256 267 276 356 368 372 384 496 534 552 712 713 736 744 768 992 1068 1104 1424 1426 1472 1488 1984 2047 2136 2139 2208 2759 2848 2852 2944 2976 3968 4094 4272 4278 4416 5518 5696 5704 5888 5952 6141 7936 8188 8277 8544 8556 8832 11036 11392 11408 11904 12282 16376 16554 17088 17112 17664 22072 22784 22816 23808 24564 32752 33108 34176 34224 44144 45632 49128 63457 65504 66216 68352 68448 88288 91264 98256 126914 131008 132432 136896 176576 182528 190371 196512 253828 262016 264864 273792 353152 380742 393024 507656 524032 529728 547584 706304 761484 786048 1015312 1059456 1522968 1572096 2030624 2118912 3045936 4061248 6091872 8122496 12183744 16244992 24367488 48734976