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48316928 = 291123373
BaseRepresentation
bin1011100001010…
…0001000000000
310100220202100212
42320110020000
544332120203
64443333252
71124454452
oct270241000
9110822325
1048316928
1125301250
1214221228
13a0192ca
1465ba2d2
1543961d8
hex2e14200

48316928 has 80 divisors (see below), whose sum is σ = 110189376. Its totient is φ = 20951040.

The previous prime is 48316927. The next prime is 48316937. The reversal of 48316928 is 82961384.

It is not an unprimeable number, because it can be changed into a prime (48316921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129350 + ... + 129722.

Almost surely, 248316928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48316928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55094688).

48316928 is an abundant number, since it is smaller than the sum of its proper divisors (61872448).

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

48316928 is a wasteful number, since it uses less digits than its factorization.

48316928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 409 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 48316928 is about 6951.0379081113. The cubic root of 48316928 is about 364.2222207056. Note that the first 5 decimals are identical.

The spelling of 48316928 in words is "forty-eight million, three hundred sixteen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 256 352 368 373 506 512 704 736 746 1012 1408 1472 1492 2024 2816 2944 2984 4048 4103 5632 5888 5968 8096 8206 8579 11776 11936 16192 16412 17158 23872 32384 32824 34316 47744 64768 65648 68632 94369 95488 129536 131296 137264 188738 190976 262592 274528 377476 525184 549056 754952 1050368 1098112 1509904 2100736 2196224 3019808 4392448 6039616 12079232 24158464 48316928