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48935016 = 23341337157
BaseRepresentation
bin1011101010101…
…1000001101000
310102002011020000
42322223001220
5100011410031
64504503000
71132640454
oct272530150
9112064200
1048935016
1125693669
121447aa60
13a1a4740
1466db664
1544693e6
hex2eab068

48935016 has 160 divisors (see below), whose sum is σ = 152561640. Its totient is φ = 14556672.

The previous prime is 48935009. The next prime is 48935063. The reversal of 48935016 is 61053984.

It can be written as a sum of positive squares in 4 ways, for example, as 39012516 + 9922500 = 6246^2 + 3150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311610 + ... + 311766.

Almost surely, 248935016 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 48935016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76280820).

48935016 is an abundant number, since it is smaller than the sum of its proper divisors (103626624).

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

48935016 is a wasteful number, since it uses less digits than its factorization.

48935016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 48935016 is about 6995.3567457278. The cubic root of 48935016 is about 365.7687332323.

The spelling of 48935016 in words is "forty-eight million, nine hundred thirty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 81 104 108 111 117 148 156 157 162 216 222 234 296 312 314 324 333 351 444 468 471 481 628 648 666 702 888 936 942 962 999 1053 1256 1332 1404 1413 1443 1884 1924 1998 2041 2106 2664 2808 2826 2886 2997 3768 3848 3996 4082 4212 4239 4329 5652 5772 5809 5994 6123 7992 8164 8424 8478 8658 11304 11544 11618 11988 12246 12717 12987 16328 16956 17316 17427 18369 23236 23976 24492 25434 25974 33912 34632 34854 36738 38961 46472 48984 50868 51948 52281 55107 69708 73476 75517 77922 101736 103896 104562 110214 139416 146952 151034 155844 156843 165321 209124 220428 226551 302068 311688 313686 330642 418248 440856 453102 470529 604136 627372 661284 679653 906204 941058 1254744 1322568 1359306 1812408 1882116 2038959 2718612 3764232 4077918 5437224 6116877 8155836 12233754 16311672 24467508 48935016