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48089376 = 253418553
BaseRepresentation
bin1011011101110…
…0100100100000
310100111012020000
42313130210200
544302330001
64434420000
71122516156
oct267344440
9110435200
1048089376
1125166295
1214131600
139c6986a
14655b3d6
15434da86
hex2ddc920

48089376 has 60 divisors (see below), whose sum is σ = 141437142. Its totient is φ = 16028928.

The previous prime is 48089359. The next prime is 48089441. The reversal of 48089376 is 67398084.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 47279376 + 810000 = 6876^2 + 900^2 .

It is a super-3 number, since 3×480893763 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6685 + ... + 11868.

Almost surely, 248089376 is an apocalyptic number.

It is an amenable number.

48089376 is an abundant number, since it is smaller than the sum of its proper divisors (93347766).

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

48089376 is a wasteful number, since it uses less digits than its factorization.

48089376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18575 (or 18558 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48089376 is about 6934.6503877268. The cubic root of 48089376 is about 363.6495439465.

The spelling of 48089376 in words is "forty-eight million, eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 18553 37106 55659 74212 111318 148424 166977 222636 296848 333954 445272 500931 593696 667908 890544 1001862 1335816 1502793 1781088 2003724 2671632 3005586 4007448 5343264 6011172 8014896 12022344 16029792 24044688 48089376