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4978310040 = 23325113761557
BaseRepresentation
bin1001010001011101…
…01111101110011000
3110211221120100112100
410220232233232120
540143421410130
62141554243400
7234236636304
oct45056575630
913757510470
104978310040
112125143020
12b6b286560
136145061b2
14353256d04
151e20bec60
hex128bafb98

4978310040 has 384 divisors, whose sum is σ = 18457657920. Its totient is φ = 1152921600.

The previous prime is 4978309949. The next prime is 4978310069. The reversal of 4978310040 is 400138794.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 4978309977 and 4978310004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8937442 + ... + 8937998.

Almost surely, 24978310040 is an apocalyptic number.

4978310040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4978310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9228828960).

4978310040 is an abundant number, since it is smaller than the sum of its proper divisors (13479347880).

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

4978310040 is a wasteful number, since it uses less digits than its factorization.

4978310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4978310040 is about 70557.1402481705. The cubic root of 4978310040 is about 1707.4997419732.

The spelling of 4978310040 in words is "four billion, nine hundred seventy-eight million, three hundred ten thousand, forty".