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42451152 = 2433147607
BaseRepresentation
bin1010000111110…
…0000011010000
32221212202000220
42201330003100
541331414102
64113513040
71023554202
oct241740320
987782026
1042451152
1121a651a7
1212272780
138a44433
1458d0772
153ad81bc
hex287c0d0

42451152 has 80 divisors (see below), whose sum is σ = 115802112. Its totient is φ = 13380480.

The previous prime is 42451151. The next prime is 42451153. The reversal of 42451152 is 25115424.

It is an interprime number because it is at equal distance from previous prime (42451151) and next prime (42451153).

It is a super-2 number, since 2×424511522 = 3604200612254208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42451151) 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, 69633 + ... + 70239.

Almost surely, 242451152 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 42451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57901056).

42451152 is an abundant number, since it is smaller than the sum of its proper divisors (73350960).

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

42451152 is a wasteful number, since it uses less digits than its factorization.

42451152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 690 counting only the distinct ones).

The product of its digits is 1600, while the sum is 24.

The square root of 42451152 is about 6515.4548574908. The cubic root of 42451152 is about 348.8428506259.

Adding to 42451152 its reverse (25115424), we get a palindrome (67566576).

The spelling of 42451152 in words is "forty-two million, four hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 47 48 62 93 94 124 141 186 188 248 282 372 376 496 564 607 744 752 1128 1214 1457 1488 1821 2256 2428 2914 3642 4371 4856 5828 7284 8742 9712 11656 14568 17484 18817 23312 28529 29136 34968 37634 56451 57058 69936 75268 85587 112902 114116 150536 171174 225804 228232 301072 342348 451608 456464 684696 884399 903216 1369392 1768798 2653197 3537596 5306394 7075192 10612788 14150384 21225576 42451152