Search a number
-
+
31478496 = 2537139337
BaseRepresentation
bin111100000010…
…1001011100000
32012020021101020
41320011023200
531024302441
63042405440
7531364020
oct170051340
965207336
1031478496
1116850295
12a660880
1366a1c3a
144275a80
152b6be66
hex1e052e0

31478496 has 96 divisors (see below), whose sum is σ = 95397120. Its totient is φ = 8902656.

The previous prime is 31478483. The next prime is 31478521. The reversal of 31478496 is 69487413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93240 + ... + 93576.

It is an arithmetic number, because the mean of its divisors is an integer number (993720).

Almost surely, 231478496 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 31478496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47698560).

31478496 is an abundant number, since it is smaller than the sum of its proper divisors (63918624).

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

31478496 is a wasteful number, since it uses less digits than its factorization.

31478496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 488 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 31478496 is about 5610.5700245162. The cubic root of 31478496 is about 315.7460973872.

The spelling of 31478496 in words is "thirty-one million, four hundred seventy-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 139 168 224 278 336 337 417 556 672 674 834 973 1011 1112 1348 1668 1946 2022 2224 2359 2696 2919 3336 3892 4044 4448 4718 5392 5838 6672 7077 7784 8088 9436 10784 11676 13344 14154 15568 16176 18872 23352 28308 31136 32352 37744 46704 46843 56616 75488 93408 93686 113232 140529 187372 226464 281058 327901 374744 562116 655802 749488 983703 1124232 1311604 1498976 1967406 2248464 2623208 3934812 4496928 5246416 7869624 10492832 15739248 31478496