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42893460 = 22325317687
BaseRepresentation
bin1010001110100…
…0000010010100
32222201012202200
42203220002110
541440042320
64131204500
71030405551
oct243500224
988635680
1042893460
1122237545
1212446730
138b6a85c
1459a7a28
153b74290
hex28e8094

42893460 has 72 divisors (see below), whose sum is σ = 134324736. Its totient is φ = 11067840.

The previous prime is 42893441. The next prime is 42893479. The reversal of 42893460 is 6439824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42893441) and next prime (42893479).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1737 + ... + 9423.

Almost surely, 242893460 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 42893460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67162368).

42893460 is an abundant number, since it is smaller than the sum of its proper divisors (91431276).

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

42893460 is a wasteful number, since it uses less digits than its factorization.

42893460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7733 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 42893460 is about 6549.3098873087. The cubic root of 42893460 is about 350.0502240851.

The spelling of 42893460 in words is "forty-two million, eight hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 7687 15374 23061 30748 38435 46122 69183 76870 92244 115305 138366 153740 230610 238297 276732 345915 461220 476594 691830 714891 953188 1191485 1383660 1429782 2144673 2382970 2859564 3574455 4289346 4765940 7148910 8578692 10723365 14297820 21446730 42893460