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42496500 = 2235341691
BaseRepresentation
bin1010001000011…
…1000111110100
32221222001020110
42202013013310
541334342000
64114503020
71024133334
oct242070764
987861213
1042496500
1121a96282
1212294a70
138a5bc77
1459030c4
153ae6850
hex28871f4

42496500 has 96 divisors (see below), whose sum is σ = 126951552. Its totient is φ = 11040000.

The previous prime is 42496469. The next prime is 42496511. The reversal of 42496500 is 569424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 61155 + ... + 61845.

It is an arithmetic number, because the mean of its divisors is an integer number (1322412).

Almost surely, 242496500 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 42496500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63475776).

42496500 is an abundant number, since it is smaller than the sum of its proper divisors (84455052).

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

42496500 is a wasteful number, since it uses less digits than its factorization.

42496500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42496500 is about 6518.9339619297. The cubic root of 42496500 is about 348.9670223326.

The spelling of 42496500 in words is "forty-two million, four hundred ninety-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 691 750 820 1025 1230 1382 1500 2050 2073 2460 2764 3075 3455 4100 4146 5125 6150 6910 8292 10250 10365 12300 13820 15375 17275 20500 20730 28331 30750 34550 41460 51825 56662 61500 69100 84993 86375 103650 113324 141655 169986 172750 207300 259125 283310 339972 345500 424965 518250 566620 708275 849930 1036500 1416550 1699860 2124825 2833100 3541375 4249650 7082750 8499300 10624125 14165500 21248250 42496500