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42392500 = 225431547
BaseRepresentation
bin1010000110110…
…1101110110100
32221202202120121
42201231232310
541323030000
64112341324
71023221203
oct241555664
987682517
1042392500
1121a25127
1212244844
138a23827
1458b723a
153ac5b1a
hex286dbb4

42392500 has 60 divisors (see below), whose sum is σ = 95869312. Its totient is φ = 16380000.

The previous prime is 42392489. The next prime is 42392501. The reversal of 42392500 is 529324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42392501) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 77227 + ... + 77773.

Almost surely, 242392500 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 42392500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47934656).

42392500 is an abundant number, since it is smaller than the sum of its proper divisors (53476812).

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

42392500 is a wasteful number, since it uses less digits than its factorization.

42392500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 42392500 is about 6510.9523112982. The cubic root of 42392500 is about 348.6821187411.

The spelling of 42392500 in words is "forty-two million, three hundred ninety-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 125 155 250 310 500 547 620 625 775 1094 1250 1550 2188 2500 2735 3100 3875 5470 7750 10940 13675 15500 16957 19375 27350 33914 38750 54700 67828 68375 77500 84785 136750 169570 273500 339140 341875 423925 683750 847850 1367500 1695700 2119625 4239250 8478500 10598125 21196250 42392500