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1949039820 = 223657132113
BaseRepresentation
bin111010000101011…
…1111110011001100
312000211110111000000
41310022333303030
512442423233240
6521222404300
766204364560
oct16412776314
95024414000
101949039820
11910200512
12464890690
13250a43c00
14146bd16a0
15b6198430
hex742bfccc

1949039820 has 504 divisors, whose sum is σ = 7661527776. Its totient is φ = 407586816.

The previous prime is 1949039819. The next prime is 1949039821. The reversal of 1949039820 is 289309491.

It is an interprime number because it is at equal distance from previous prime (1949039819) and next prime (1949039821).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1949039821) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 17248084 + ... + 17248196.

It is an arithmetic number, because the mean of its divisors is an integer number (15201444).

Almost surely, 21949039820 is an apocalyptic number.

1949039820 is a gapful number since it is divisible by the number (10) 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 1949039820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830763888).

1949039820 is an abundant number, since it is smaller than the sum of its proper divisors (5712487956).

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

1949039820 is a wasteful number, since it uses less digits than its factorization.

1949039820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1949039820 is about 44147.9310953526. The cubic root of 1949039820 is about 1249.1278866094.

The spelling of 1949039820 in words is "one billion, nine hundred forty-nine million, thirty-nine thousand, eight hundred twenty".