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969415044 = 22313471091213
BaseRepresentation
bin111001110010000…
…001100110000100
32111120010101102220
4321302001212010
53441132240134
6240105532340
733010614633
oct7162014604
92446111386
10969415044
11458233964
122307a40b0
13125abbb90
1492a6951a
155a18e149
hex39c81984

969415044 has 96 divisors (see below), whose sum is σ = 2512688640. Its totient is φ = 289018368.

The previous prime is 969415037. The next prime is 969415067. The reversal of 969415044 is 440514969.

It is a junction number, because it is equal to n+sod(n) for n = 969414987 and 969415005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798582 + ... + 799794.

It is an arithmetic number, because the mean of its divisors is an integer number (26173840).

Almost surely, 2969415044 is an apocalyptic number.

969415044 is a gapful number since it is divisible by the number (94) 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 969415044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256344320).

969415044 is an abundant number, since it is smaller than the sum of its proper divisors (1543273596).

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

969415044 is a wasteful number, since it uses less digits than its factorization.

969415044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 969415044 is about 31135.4306859565. The cubic root of 969415044 is about 989.6992740305.

The spelling of 969415044 in words is "nine hundred sixty-nine million, four hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 109 141 156 188 218 282 327 436 564 611 654 1213 1222 1308 1417 1833 2426 2444 2834 3639 3666 4251 4852 5123 5668 7278 7332 8502 10246 14556 15369 15769 17004 20492 30738 31538 47307 57011 61476 63076 66599 94614 114022 132217 133198 171033 189228 199797 228044 264434 266396 342066 396651 399594 528868 684132 741143 793302 799188 1482286 1586604 1718821 2223429 2964572 3437642 4446858 5156463 6214199 6875284 8893716 10312926 12428398 18642597 20625852 24856796 37285194 74570388 80784587 161569174 242353761 323138348 484707522 969415044