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401148832 = 2576726729
BaseRepresentation
bin10111111010010…
…000101110100000
31000221211110202011
4113322100232200
51310143230312
6103450002304
712640465060
oct2772205640
91027743664
10401148832
11196490067
12b2416394
1365154496
143b3c33a0
152533dda7
hex17e90ba0

401148832 has 48 divisors (see below), whose sum is σ = 916090560. Its totient is φ = 169348608.

The previous prime is 401148817. The next prime is 401148883. The reversal of 401148832 is 238841104.

It is a junction number, because it is equal to n+sod(n) for n = 401148794 and 401148803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1644 + ... + 28372.

It is an arithmetic number, because the mean of its divisors is an integer number (19085220).

Almost surely, 2401148832 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 401148832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458045280).

401148832 is an abundant number, since it is smaller than the sum of its proper divisors (514941728).

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

401148832 is a wasteful number, since it uses less digits than its factorization.

401148832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26813 (or 26805 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 401148832 is about 20028.7002074523. The cubic root of 401148832 is about 737.5110143716.

Adding to 401148832 its reverse (238841104), we get a palindrome (639989936).

The spelling of 401148832 in words is "four hundred one million, one hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 469 536 938 1072 1876 2144 3752 7504 15008 26729 53458 106916 187103 213832 374206 427664 748412 855328 1496824 1790843 2993648 3581686 5987296 7163372 12535901 14326744 25071802 28653488 50143604 57306976 100287208 200574416 401148832