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47262042 = 235313137
BaseRepresentation
bin1011010001001…
…0100101011010
310021221011100000
42310102211122
544044341132
64404553430
71112502132
oct264224532
9107834300
1047262042
1124750743
12139b2876
139a3a109
1463c3ac2
15423887c
hex2d1295a

47262042 has 48 divisors (see below), whose sum is σ = 109654272. Its totient is φ = 15240960.

The previous prime is 47262037. The next prime is 47262067. The reversal of 47262042 is 24026274.

It is a happy number.

It is a super-2 number, since 2×472620422 = 4467401228019528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 47261997 and 47262015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13498 + ... + 16634.

It is an arithmetic number, because the mean of its divisors is an integer number (2284464).

Almost surely, 247262042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47262042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54827136).

47262042 is an abundant number, since it is smaller than the sum of its proper divisors (62392230).

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

47262042 is a wasteful number, since it uses less digits than its factorization.

47262042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 47262042 is about 6874.7394132432. The cubic root of 47262042 is about 361.5520491162.

The spelling of 47262042 in words is "forty-seven million, two hundred sixty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 837 1674 2511 3137 5022 6274 7533 9411 15066 18822 28233 56466 84699 97247 169398 194494 254097 291741 508194 583482 762291 875223 1524582 1750446 2625669 5251338 7877007 15754014 23631021 47262042