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3893345148 = 223711231671097
BaseRepresentation
bin1110100000001111…
…1011101101111100
3101001100000102111110
43220003323231330
530433144021043
61442155522020
7165323613330
oct35003735574
911040012443
103893345148
111718767920
12907a59310
134a07bab34
1428d10d7c0
1517bc08b33
hexe80fbb7c

3893345148 has 192 divisors, whose sum is σ = 11900141568. Its totient is φ = 960622080.

The previous prime is 3893345129. The next prime is 3893345153. The reversal of 3893345148 is 8415433983.

It is a junction number, because it is equal to n+sod(n) for n = 3893345097 and 3893345106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3548536 + ... + 3549632.

It is an arithmetic number, because the mean of its divisors is an integer number (61979904).

Almost surely, 23893345148 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 3893345148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950070784).

3893345148 is an abundant number, since it is smaller than the sum of its proper divisors (8006796420).

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

3893345148 is a wasteful number, since it uses less digits than its factorization.

3893345148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 3893345148 is about 62396.6757768393. The cubic root of 3893345148 is about 1573.1650955837.

The spelling of 3893345148 in words is "three billion, eight hundred ninety-three million, three hundred forty-five thousand, one hundred forty-eight".