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42634548 = 2232112331151
BaseRepresentation
bin1010001010100…
…0110100110100
32222020001121100
42202220310310
541403301143
64121450100
71025246655
oct242506464
988201540
1042634548
112207aa70
1212340930
138aa9a58
14593b52c
153b226d3
hex28a8d34

42634548 has 144 divisors (see below), whose sum is σ = 127475712. Its totient is φ = 11880000.

The previous prime is 42634541. The next prime is 42634567. The reversal of 42634548 is 84543624.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42634541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282273 + ... + 282423.

It is an arithmetic number, because the mean of its divisors is an integer number (885248).

Almost surely, 242634548 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 42634548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63737856).

42634548 is an abundant number, since it is smaller than the sum of its proper divisors (84841164).

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

42634548 is a wasteful number, since it uses less digits than its factorization.

42634548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 42634548 is about 6529.5136112884. The cubic root of 42634548 is about 349.3444818843.

The spelling of 42634548 in words is "forty-two million, six hundred thirty-four thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 31 33 36 44 46 62 66 69 92 93 99 124 132 138 151 186 198 207 253 276 279 302 341 372 396 414 453 506 558 604 682 713 759 828 906 1012 1023 1116 1359 1364 1426 1518 1661 1812 2046 2139 2277 2718 2852 3036 3069 3322 3473 4092 4278 4554 4681 4983 5436 6138 6417 6644 6946 7843 8556 9108 9362 9966 10419 12276 12834 13892 14043 14949 15686 18724 19932 20838 23529 25668 28086 29898 31257 31372 38203 41676 42129 47058 51491 56172 59796 62514 70587 76406 84258 94116 102982 107663 114609 125028 141174 152812 154473 168516 205964 215326 229218 282348 308946 322989 343827 430652 458436 463419 617892 645978 687654 926838 968967 1184293 1291956 1375308 1853676 1937934 2368586 3552879 3875868 4737172 7105758 10658637 14211516 21317274 42634548