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48286480 = 24511371483
BaseRepresentation
bin1011100000110…
…0101100010000
310100212012121011
42320030230100
544330131410
64442540304
71124266624
oct270145420
9110765534
1048286480
1125290390
1214207694
13a0084a8
1465ad184
15438c18a
hex2e0cb10

48286480 has 80 divisors (see below), whose sum is σ = 125866944. Its totient is φ = 17072640.

The previous prime is 48286471. The next prime is 48286481. The reversal of 48286480 is 8468284.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (48286481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31819 + ... + 33301.

Almost surely, 248286480 is an apocalyptic number.

48286480 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 48286480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62933472).

48286480 is an abundant number, since it is smaller than the sum of its proper divisors (77580464).

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

48286480 is a wasteful number, since it uses less digits than its factorization.

48286480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 48286480 is about 6948.8473864376. The cubic root of 48286480 is about 364.1456970181.

The spelling of 48286480 in words is "forty-eight million, two hundred eighty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1483 1628 2035 2960 2966 3256 4070 5932 6512 7415 8140 11864 14830 16280 16313 23728 29660 32560 32626 54871 59320 65252 81565 109742 118640 130504 163130 219484 261008 274355 326260 438968 548710 603581 652520 877936 1097420 1207162 1305040 2194840 2414324 3017905 4389680 4828648 6035810 9657296 12071620 24143240 48286480