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42015432 = 23317295367
BaseRepresentation
bin1010000001000…
…1101011001000
32221001121100010
42200101223020
541223443212
64100311520
71020060654
oct240215310
987047303
1042015432
11217978a8
12120a25a0
138921004
145819a64
153a4e03c
hex2811ac8

42015432 has 128 divisors (see below), whose sum is σ = 118972800. Its totient is φ = 12300288.

The previous prime is 42015419. The next prime is 42015433. The reversal of 42015432 is 23451024.

It is a super-2 number, since 2×420154322 = 3530593052293248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42015399 and 42015408.

It is not an unprimeable number, because it can be changed into a prime (42015433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627063 + ... + 627129.

It is an arithmetic number, because the mean of its divisors is an integer number (929475).

Almost surely, 242015432 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 42015432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59486400).

42015432 is an abundant number, since it is smaller than the sum of its proper divisors (76957368).

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

42015432 is a wasteful number, since it uses less digits than its factorization.

42015432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42015432 is about 6481.9311937107. The cubic root of 42015432 is about 347.6452323257.

Adding to 42015432 its reverse (23451024), we get a palindrome (65466456).

The spelling of 42015432 in words is "forty-two million, fifteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 53 58 67 68 87 102 106 116 134 136 159 174 201 204 212 232 268 318 348 402 408 424 493 536 636 696 804 901 986 1139 1272 1479 1537 1608 1802 1943 1972 2278 2703 2958 3074 3417 3551 3604 3886 3944 4556 4611 5406 5829 5916 6148 6834 7102 7208 7772 9112 9222 10653 10812 11658 11832 12296 13668 14204 15544 18444 21306 21624 23316 26129 27336 28408 33031 36888 42612 46632 52258 60367 66062 78387 85224 99093 102979 104516 120734 132124 156774 181101 198186 205958 209032 241468 264248 308937 313548 362202 396372 411916 482936 617874 627096 724404 792744 823832 1235748 1448808 1750643 2471496 3501286 5251929 7002572 10503858 14005144 21007716 42015432