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1949228544 = 2931966791
BaseRepresentation
bin111010000101110…
…1101111000000000
312000211211001212210
41310023231320000
512443000303134
6521230422120
766206112024
oct16413557000
95024731783
101949228544
1191031a28a
12464961940
13250aaba93
14146c40384
15b61d42e9
hex742ede00

1949228544 has 80 divisors (see below), whose sum is σ = 5466257280. Its totient is φ = 615536640.

The previous prime is 1949228543. The next prime is 1949228549. The reversal of 1949228544 is 4458229491.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1949228493 and 1949228502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1949228543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4212 + ... + 62579.

It is an arithmetic number, because the mean of its divisors is an integer number (68328216).

Almost surely, 21949228544 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 1949228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733128640).

1949228544 is an abundant number, since it is smaller than the sum of its proper divisors (3517028736).

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

1949228544 is an equidigital number, since it uses as much as digits as its factorization.

1949228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66831 (or 66815 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 1949228544 is about 44150.0684484181. The cubic root of 1949228544 is about 1249.1682026667.

The spelling of 1949228544 in words is "one billion, nine hundred forty-nine million, two hundred twenty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1216 1536 1824 2432 3648 4864 7296 9728 14592 29184 66791 133582 200373 267164 400746 534328 801492 1068656 1269029 1602984 2137312 2538058 3205968 3807087 4274624 5076116 6411936 7614174 8549248 10152232 12823872 15228348 17098496 20304464 25647744 30456696 34196992 40608928 51295488 60913392 81217856 102590976 121826784 162435712 243653568 324871424 487307136 649742848 974614272 1949228544