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42152352 = 25311179223
BaseRepresentation
bin1010000011001…
…1000110100000
32221022120011020
42200303012200
541242333402
64103245440
71021201104
oct240630640
987276136
1042152352
1121880760
1212149880
13896b428
145853904
153a798bc
hex28331a0

42152352 has 96 divisors (see below), whose sum is σ = 121927680. Its totient is φ = 12645120.

The previous prime is 42152347. The next prime is 42152377. The reversal of 42152352 is 25325124.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188913 + ... + 189135.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 242152352 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 42152352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840).

42152352 is an abundant number, since it is smaller than the sum of its proper divisors (79775328).

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

42152352 is a wasteful number, since it uses less digits than its factorization.

42152352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 418 counting only the distinct ones).

The product of its digits is 2400, while the sum is 24.

The square root of 42152352 is about 6492.4842702928. The cubic root of 42152352 is about 348.0224585849.

Adding to 42152352 its reverse (25325124), we get a palindrome (67477476).

The spelling of 42152352 in words is "forty-two million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 179 223 264 352 358 446 528 537 669 716 892 1056 1074 1338 1432 1784 1969 2148 2453 2676 2864 3568 3938 4296 4906 5352 5728 5907 7136 7359 7876 8592 9812 10704 11814 14718 15752 17184 19624 21408 23628 29436 31504 39248 39917 47256 58872 63008 78496 79834 94512 117744 119751 159668 189024 235488 239502 319336 439087 479004 638672 878174 958008 1277344 1317261 1756348 1916016 2634522 3512696 3832032 5269044 7025392 10538088 14050784 21076176 42152352