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94029408 = 25321167443
BaseRepresentation
bin1011001101011…
…00011001100000
320112221012002200
411212230121200
5143032420113
613155213200
72221144134
oct546543140
9215835080
1094029408
1149093760
12275a7200
1316633005
14c6b93c4
1583c5873
hex59ac660

94029408 has 144 divisors (see below), whose sum is σ = 296726976. Its totient is φ = 28005120.

The previous prime is 94029401. The next prime is 94029409. The reversal of 94029408 is 80492049.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (94029401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212035 + ... + 212477.

It is an arithmetic number, because the mean of its divisors is an integer number (2060604).

Almost surely, 294029408 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 94029408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148363488).

94029408 is an abundant number, since it is smaller than the sum of its proper divisors (202697568).

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

94029408 is a wasteful number, since it uses less digits than its factorization.

94029408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 94029408 is about 9696.8761980341. The cubic root of 94029408 is about 454.7310055158.

The spelling of 94029408 in words is "ninety-four million, twenty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 67 72 88 96 99 132 134 144 176 198 201 264 268 288 352 396 402 443 528 536 603 737 792 804 886 1056 1072 1206 1329 1474 1584 1608 1772 2144 2211 2412 2658 2948 3168 3216 3544 3987 4422 4824 4873 5316 5896 6432 6633 7088 7974 8844 9648 9746 10632 11792 13266 14176 14619 15948 17688 19296 19492 21264 23584 26532 29238 29681 31896 35376 38984 42528 43857 53064 58476 59362 63792 70752 77968 87714 89043 106128 116952 118724 127584 155936 175428 178086 212256 233904 237448 267129 326491 350856 356172 467808 474896 534258 652982 701712 712344 949792 979473 1068516 1305964 1403424 1424688 1958946 2137032 2611928 2849376 2938419 3917892 4274064 5223856 5876838 7835784 8548128 10447712 11753676 15671568 23507352 31343136 47014704 94029408