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48104352 = 25321959149
BaseRepresentation
bin1011011110000…
…0001110100000
310100111221202200
42313200032200
544303314402
64435013200
71122610632
oct267401640
9110457680
1048104352
112517656a
121413a200
139c7361a
146562a52
15435321c
hex2de03a0

48104352 has 144 divisors (see below), whose sum is σ = 147420000. Its totient is φ = 14833152.

The previous prime is 48104351. The next prime is 48104363. The reversal of 48104352 is 25340184.

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

It is a super-3 number, since 3×481043523 (a number of 24 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48104351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 322774 + ... + 322922.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 248104352 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 48104352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73710000).

48104352 is an abundant number, since it is smaller than the sum of its proper divisors (99315648).

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

48104352 is a wasteful number, since it uses less digits than its factorization.

48104352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 48104352 is about 6935.7300985549. The cubic root of 48104352 is about 363.6872892920.

The spelling of 48104352 in words is "forty-eight million, one hundred four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 59 72 76 96 114 118 144 149 152 171 177 228 236 288 298 304 342 354 447 456 472 531 596 608 684 708 894 912 944 1062 1121 1192 1341 1368 1416 1788 1824 1888 2124 2242 2384 2682 2736 2831 2832 3363 3576 4248 4484 4768 5364 5472 5662 5664 6726 7152 8493 8496 8791 8968 10089 10728 11324 13452 14304 16986 16992 17582 17936 20178 21456 22648 25479 26373 26904 33972 35164 35872 40356 42912 45296 50958 52746 53808 67944 70328 79119 80712 90592 101916 105492 107616 135888 140656 158238 161424 167029 203832 210984 271776 281312 316476 322848 334058 407664 421968 501087 632952 668116 815328 843936 1002174 1265904 1336232 1503261 2004348 2531808 2672464 3006522 4008696 5344928 6013044 8017392 12026088 16034784 24052176 48104352