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5400476442 = 233671977577
BaseRepresentation
bin1010000011110010…
…01011101100011010
3111221100221121222000
411001321023230122
542030010221232
62251514541430
7250554202164
oct50171135432
914840847860
105400476442
112321478979
121068737876
13680b08cba
1439334b934
152191b127c
hex141e4bb1a

5400476442 has 64 divisors (see below), whose sum is σ = 12243623040. Its totient is φ = 1764056448.

The previous prime is 5400476413. The next prime is 5400476443. The reversal of 5400476442 is 2446740045.

5400476442 is a `hidden beast` number, since 5 + 4 + 0 + 0 + 4 + 7 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5400476397 and 5400476406.

It is not an unprimeable number, because it can be changed into a prime (5400476443) 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, 708958 + ... + 716534.

It is an arithmetic number, because the mean of its divisors is an integer number (191306610).

Almost surely, 25400476442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5400476442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6121811520).

5400476442 is an abundant number, since it is smaller than the sum of its proper divisors (6843146598).

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

5400476442 is a wasteful number, since it uses less digits than its factorization.

5400476442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7852 (or 7846 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 5400476442 is about 73487.9339891931. The cubic root of 5400476442 is about 1754.4622386273.

The spelling of 5400476442 in words is "five billion, four hundred million, four hundred seventy-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 197 201 394 402 591 603 1182 1206 1773 1809 3546 3618 5319 7577 10638 13199 15154 22731 26398 39597 45462 68193 79194 118791 136386 204579 237582 356373 409158 507659 712746 1015318 1492669 1522977 2985338 3045954 4478007 4568931 8956014 9137862 13434021 13706793 26868042 27413586 40302063 80604126 100008823 200017646 300026469 600052938 900079407 1800158814 2700238221 5400476442