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48048036 = 22319832539
BaseRepresentation
bin1011011101001…
…0011110100100
310100102002111220
42313102132210
544300014121
64433500340
71122254511
oct267223644
9110362456
1048048036
1125138223
12141116b0
139c53aba
14654a308
1543416c6
hex2dd27a4

48048036 has 48 divisors (see below), whose sum is σ = 119481600. Its totient is φ = 14984352.

The previous prime is 48047971. The next prime is 48048059. The reversal of 48048036 is 63084084.

It is a super-2 number, since 2×480480362 = 4617227526914592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48047988 and 48048006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17655 + ... + 20193.

It is an arithmetic number, because the mean of its divisors is an integer number (2489200).

Almost surely, 248048036 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 48048036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59740800).

48048036 is an abundant number, since it is smaller than the sum of its proper divisors (71433564).

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

48048036 is a wasteful number, since it uses less digits than its factorization.

48048036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48048036 is about 6931.6690630756. The cubic root of 48048036 is about 363.5453103767.

It can be divided in two parts, 480 and 48036, that added together give a triangular number (48516 = T311).

The spelling of 48048036 in words is "forty-eight million, forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 498 996 1577 2539 3154 4731 5078 6308 7617 9462 10156 15234 18924 30468 48241 96482 144723 192964 210737 289446 421474 578892 632211 842948 1264422 2528844 4004003 8008006 12012009 16016012 24024018 48048036