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531940896 = 25328920753
BaseRepresentation
bin11111101101001…
…100011000100000
31101001221101201200
4133231030120200
52042134102041
6124441201200
716116265044
oct3755143040
91331841650
10531940896
112532a3083
1212a190200
1386289636
145090c024
1531a771b6
hex1fb4c620

531940896 has 72 divisors (see below), whose sum is σ = 1529777340. Its totient is φ = 175312896.

The previous prime is 531940889. The next prime is 531940943. The reversal of 531940896 is 698049135.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 495507600 + 36433296 = 22260^2 + 6036^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5319408962 = 565922233674565632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15256 + ... + 36008.

Almost surely, 2531940896 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 531940896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764888670).

531940896 is an abundant number, since it is smaller than the sum of its proper divisors (997836444).

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

531940896 is a wasteful number, since it uses less digits than its factorization.

531940896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20858 (or 20847 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 531940896 is about 23063.8439120629. The cubic root of 531940896 is about 810.2538938885.

The spelling of 531940896 in words is "five hundred thirty-one million, nine hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 6408 8544 12816 20753 25632 41506 62259 83012 124518 166024 186777 249036 332048 373554 498072 664096 747108 996144 1494216 1847017 1992288 2988432 3694034 5541051 5976864 7388068 11082102 14776136 16623153 22164204 29552272 33246306 44328408 59104544 66492612 88656816 132985224 177313632 265970448 531940896