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402213042 = 232711521557
BaseRepresentation
bin10111111110010…
…100100010110010
31001000211112120100
4113332110202302
51310431304132
6103524453230
712652516530
oct2776244262
91030745510
10402213042
11197047680
12b284a216
13654379aa
143b5bd150
152549e37c
hex17f948b2

402213042 has 96 divisors (see below), whose sum is σ = 1090537344. Its totient is φ = 104083200.

The previous prime is 402213037. The next prime is 402213059. The reversal of 402213042 is 240312204.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721828 + ... + 722384.

It is an arithmetic number, because the mean of its divisors is an integer number (11359764).

Almost surely, 2402213042 is an apocalyptic number.

402213042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 402213042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545268672).

402213042 is an abundant number, since it is smaller than the sum of its proper divisors (688324302).

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

402213042 is a wasteful number, since it uses less digits than its factorization.

402213042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 402213042 is about 20055.2497366650. The cubic root of 402213042 is about 738.1626208712.

Adding to 402213042 its reverse (240312204), we get a palindrome (642525246).

It can be divided in two parts, 402 and 213042, that added together give a square (213444 = 4622).

The spelling of 402213042 in words is "four hundred two million, two hundred thirteen thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 521 557 693 1042 1114 1386 1563 1671 3126 3342 3647 3899 4689 5013 5731 6127 7294 7798 9378 10026 10941 11462 11697 12254 17193 18381 21882 23394 32823 34386 35091 36762 40117 42889 51579 55143 65646 70182 80234 85778 103158 110286 120351 128667 240702 257334 290197 361053 386001 580394 722106 772002 870591 1741182 2031379 2611773 3192167 4062758 5223546 6094137 6384334 9576501 12188274 18282411 19153002 22345169 28729503 36564822 44690338 57459006 67035507 134071014 201106521 402213042