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1028925216 = 2532113110477
BaseRepresentation
bin111101010101000…
…010011100100000
32122201002211001100
4331111002130200
54101401101331
6250033234400
734332501654
oct7525023440
92581084040
101028925216
1148888a820
12248702a00
13135226bb7
149a91aa64
15604e6ae6
hex3d542720

1028925216 has 144 divisors (see below), whose sum is σ = 3295289088. Its totient is φ = 301708800.

The previous prime is 1028925203. The next prime is 1028925239. The reversal of 1028925216 is 6125298201.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92970 + ... + 103446.

It is an arithmetic number, because the mean of its divisors is an integer number (22883952).

Almost surely, 21028925216 is an apocalyptic number.

1028925216 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 1028925216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647644544).

1028925216 is an abundant number, since it is smaller than the sum of its proper divisors (2266363872).

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

1028925216 is a wasteful number, since it uses less digits than its factorization.

1028925216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10535 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1028925216 is about 32076.8641858895. The cubic root of 1028925216 is about 1009.5502412095.

The spelling of 1028925216 in words is "one billion, twenty-eight million, nine hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10477 10912 12276 16368 20954 24552 31431 32736 41908 49104 62862 83816 94293 98208 115247 125724 167632 188586 230494 251448 324787 335264 345741 377172 460988 502896 649574 691482 754344 921976 974361 1005792 1037223 1299148 1382964 1508688 1843952 1948722 2074446 2598296 2765928 2923083 3017376 3572657 3687904 3897444 4148892 5196592 5531856 5846166 7145314 7794888 8297784 10393184 10717971 11063712 11692332 14290628 15589776 16595568 21435942 23384664 28581256 31179552 32153913 33191136 42871884 46769328 57162512 64307826 85743768 93538656 114325024 128615652 171487536 257231304 342975072 514462608 1028925216