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690427392 = 29317137193
BaseRepresentation
bin101001001001110…
…001011000000000
31210010011100022220
4221021301120000
52403222134032
6152302131040
723052351564
oct5111613000
91703140286
10690427392
11324801356
12173280a80
13b006a225
14679a56a4
154093112c
hex29271600

690427392 has 160 divisors (see below), whose sum is σ = 1971918432. Its totient is φ = 213909504.

The previous prime is 690427391. The next prime is 690427433. The reversal of 690427392 is 293724096.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690427391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577248 + ... + 3577440.

Almost surely, 2690427392 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 690427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985959216).

690427392 is an abundant number, since it is smaller than the sum of its proper divisors (1281491040).

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

690427392 is a wasteful number, since it uses less digits than its factorization.

690427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 690427392 is about 26275.9850814389. The cubic root of 690427392 is about 883.8380025693.

The spelling of 690427392 in words is "six hundred ninety million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 137 192 193 204 256 272 274 384 386 408 411 512 544 548 579 768 772 816 822 1088 1096 1158 1536 1544 1632 1644 2176 2192 2316 2329 3088 3264 3281 3288 4352 4384 4632 4658 6176 6528 6562 6576 6987 8704 8768 9264 9316 9843 12352 13056 13124 13152 13974 17536 18528 18632 19686 24704 26112 26248 26304 26441 27948 35072 37056 37264 39372 49408 52496 52608 52882 55896 70144 74112 74528 78744 79323 98816 104992 105216 105764 111792 148224 149056 157488 158646 209984 210432 211528 223584 296448 298112 314976 317292 419968 423056 447168 449497 596224 629952 634584 839936 846112 894336 898994 1192448 1259904 1269168 1348491 1679872 1692224 1788672 1797988 2519808 2538336 2696982 3384448 3577344 3595976 5039616 5076672 5393964 6768896 7191952 10153344 10787928 13537792 14383904 20306688 21575856 28767808 40613376 43151712 57535616 86303424 115071232 172606848 230142464 345213696 690427392