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535428408 = 233232181233
BaseRepresentation
bin11111111010011…
…111110100111000
31101022111120200210
4133322133310320
52044032202113
6125044031120
716161031524
oct3772376470
91338446623
10535428408
11255265319
1212b3924a0
1386c0ab58
1451178d84
15320156c3
hex1fe9fd38

535428408 has 96 divisors (see below), whose sum is σ = 1413069840. Its totient is φ = 169044480.

The previous prime is 535428401. The next prime is 535428427. The reversal of 535428408 is 804824535.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535428401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2297860 + ... + 2298092.

Almost surely, 2535428408 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 535428408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706534920).

535428408 is an abundant number, since it is smaller than the sum of its proper divisors (877641432).

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

535428408 is a wasteful number, since it uses less digits than its factorization.

535428408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 535428408 is about 23139.3260057418. The cubic root of 535428408 is about 812.0207675858.

The spelling of 535428408 in words is "five hundred thirty-five million, four hundred twenty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 181 184 233 276 362 466 529 543 552 699 724 932 1058 1086 1398 1448 1587 1864 2116 2172 2796 3174 4163 4232 4344 5359 5592 6348 8326 10718 12489 12696 16077 16652 21436 24978 32154 33304 42173 42872 49956 64308 84346 95749 99912 123257 126519 128616 168692 191498 246514 253038 287247 337384 369771 382996 493028 506076 574494 739542 765992 969979 986056 1012152 1148988 1479084 1939958 2297976 2909937 2958168 3879916 5819874 7759832 11639748 22309517 23279496 44619034 66928551 89238068 133857102 178476136 267714204 535428408