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1978444056 = 2333115671697
BaseRepresentation
bin111010111101100…
…1010100100011000
312002212210101000210
41311323022210120
513022440202211
6524152531120
7100012332321
oct16573124430
95085711023
101978444056
11925864336
124726b0aa0
13256b6a974
1414aa87448
15b8a559a6
hex75eca918

1978444056 has 64 divisors (see below), whose sum is σ = 5111930880. Its totient is φ = 637424640.

The previous prime is 1978444009. The next prime is 1978444073. The reversal of 1978444056 is 6504448791.

It is a super-2 number, since 2×19784440562 = 7828481765443462272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1978443996 and 1978444014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165000 + ... + 1166696.

It is an arithmetic number, because the mean of its divisors is an integer number (79873920).

Almost surely, 21978444056 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 1978444056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555965440).

1978444056 is an abundant number, since it is smaller than the sum of its proper divisors (3133486824).

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

1978444056 is a wasteful number, since it uses less digits than its factorization.

1978444056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3300 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 1978444056 is about 44479.7038659207. The cubic root of 1978444056 is about 1255.3782251809.

It can be divided in two parts, 19 and 78444056, that added together give a triangular number (78444075 = T12525).

The spelling of 1978444056 in words is "one billion, nine hundred seventy-eight million, four hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1567 1697 3134 3394 4701 5091 6268 6788 9402 10182 12536 13576 18804 20364 37608 40728 48577 52607 97154 105214 145731 157821 194308 210428 291462 315642 388616 420856 582924 631284 1165848 1262568 2659199 5318398 7977597 10636796 15955194 21273592 31910388 63820776 82435169 164870338 247305507 329740676 494611014 659481352 989222028 1978444056