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3496487148 = 2235711231137
BaseRepresentation
bin1101000001101000…
…0010100011101100
3100000200020221200000
43100122002203230
524130100042043
61334541504300
7152434436040
oct32032024354
910020227600
103496487148
111534748600
12816b72090
1343950970b
14252526020
15156e662d3
hexd06828ec

3496487148 has 432 divisors, whose sum is σ = 11972093952. Its totient is φ = 872467200.

The previous prime is 3496487147. The next prime is 3496487153. The reversal of 3496487148 is 8417846943.

3496487148 is a `hidden beast` number, since 3 + 496 + 4 + 8 + 7 + 148 = 666.

It is a super-2 number, since 2×34964871482 = 24450844752258347808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4644864) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 3496487094 and 3496487103.

It is not an unprimeable number, because it can be changed into a prime (3496487143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25521736 + ... + 25521872.

Almost surely, 23496487148 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 3496487148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5986046976).

3496487148 is an abundant number, since it is smaller than the sum of its proper divisors (8475606804).

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

3496487148 is a wasteful number, since it uses less digits than its factorization.

3496487148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3496487148 is about 59131.1013596060. The cubic root of 3496487148 is about 1517.7863593480.

The spelling of 3496487148 in words is "three billion, four hundred ninety-six million, four hundred eighty-seven thousand, one hundred forty-eight".