Search a number
-
+
5076648 = 2333191237
BaseRepresentation
bin10011010111011010101000
3100112220212000
4103113122220
52244423043
6300451000
761102503
oct23273250
910486760
105076648
112958185
121849a60
131089945
1496213a
156a42d3
hex4d76a8

5076648 has 64 divisors (see below), whose sum is σ = 14856000. Its totient is φ = 1601856.

The previous prime is 5076637. The next prime is 5076671. The reversal of 5076648 is 8466705.

It is a happy number.

5076648 is a `hidden beast` number, since 5 + 0 + 7 + 6 + 648 = 666.

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 15 ways as a sum of consecutive naturals, for example, 3486 + ... + 4722.

It is an arithmetic number, because the mean of its divisors is an integer number (232125).

Almost surely, 25076648 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 5076648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428000).

5076648 is an abundant number, since it is smaller than the sum of its proper divisors (9779352).

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

5076648 is a wasteful number, since it uses less digits than its factorization.

5076648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5076648 is about 2253.1418064560. The cubic root of 5076648 is about 171.8669423440.

The spelling of 5076648 in words is "five million, seventy-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1237 1368 2052 2474 3711 4104 4948 7422 9896 11133 14844 22266 23503 29688 33399 44532 47006 66798 70509 89064 94012 133596 141018 188024 211527 267192 282036 423054 564072 634581 846108 1269162 1692216 2538324 5076648