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1952848896 = 21031574049
BaseRepresentation
bin111010001100110…
…0001110000000000
312001002122000001220
41310121201300000
512444412131041
6521440155040
766251641005
oct16431416000
95032560056
101952848896
11912372309
12466008a80
132517788bb
141475038ac
15b669bd66
hex74661c00

1952848896 has 88 divisors (see below), whose sum is σ = 5239501200. Its totient is φ = 646643712.

The previous prime is 1952848883. The next prime is 1952848897. The reversal of 1952848896 is 6988482591.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1952848897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480280 + ... + 484328.

Almost surely, 21952848896 is an apocalyptic number.

1952848896 is a gapful number since it is divisible by the number (16) 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 1952848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619750600).

1952848896 is an abundant number, since it is smaller than the sum of its proper divisors (3286652304).

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

1952848896 is a wasteful number, since it uses less digits than its factorization.

1952848896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4229 (or 4211 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 60.

The square root of 1952848896 is about 44191.0499535822. The cubic root of 1952848896 is about 1249.9410950375.

The spelling of 1952848896 in words is "one billion, nine hundred fifty-two million, eight hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1256 1536 1884 2512 3072 3768 4049 5024 7536 8098 10048 12147 15072 16196 20096 24294 30144 32392 40192 48588 60288 64784 80384 97176 120576 129568 160768 194352 241152 259136 388704 482304 518272 635693 777408 1036544 1271386 1554816 1907079 2073088 2542772 3109632 3814158 4146176 5085544 6219264 7628316 10171088 12438528 15256632 20342176 30513264 40684352 61026528 81368704 122053056 162737408 244106112 325474816 488212224 650949632 976424448 1952848896