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9428891952 = 2432359144757
BaseRepresentation
bin10001100100000000…
…10111100100110000
3220100010010100011110
420302000113210300
5123302244020302
64155341513320
7452441154624
oct106200274460
926303110143
109428891952
113aa9400097
1219b1872840
13b7359940c
1465637b184
153a2b9ab6c
hex232017930

9428891952 has 80 divisors (see below), whose sum is σ = 25847988480. Its totient is φ = 2955338496.

The previous prime is 9428891897. The next prime is 9428891993. The reversal of 9428891952 is 2591988249.

It is a junction number, because it is equal to n+sod(n) for n = 9428891892 and 9428891901.

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, 7243 + ... + 137514.

It is an arithmetic number, because the mean of its divisors is an integer number (323099856).

Almost surely, 29428891952 is an apocalyptic number.

9428891952 is a gapful number since it is divisible by the number (92) 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 9428891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923994240).

9428891952 is an abundant number, since it is smaller than the sum of its proper divisors (16419096528).

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

9428891952 is a wasteful number, since it uses less digits than its factorization.

9428891952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144850 (or 144844 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 57.

The square root of 9428891952 is about 97102.4816984612. The cubic root of 9428891952 is about 2112.6143221256.

The spelling of 9428891952 in words is "nine billion, four hundred twenty-eight million, eight hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 118 138 177 184 236 276 354 368 472 552 708 944 1104 1357 1416 2714 2832 4071 5428 8142 10856 16284 21712 32568 65136 144757 289514 434271 579028 868542 1158056 1737084 2316112 3329411 3474168 6658822 6948336 8540663 9988233 13317644 17081326 19976466 25621989 26635288 34162652 39952932 51243978 53270576 68325304 79905864 102487956 136650608 159811728 196435249 204975912 392870498 409951824 589305747 785740996 1178611494 1571481992 2357222988 3142963984 4714445976 9428891952