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7998336 = 273253131
BaseRepresentation
bin11110100000101110000000
3120001100122200
4132200232000
54021421321
6443233200
7124661523
oct36405600
916040580
107998336
1145732a5
122818800
131870758
1410c2bba
15a7ed26
hex7a0b80

7998336 has 96 divisors (see below), whose sum is σ = 23629320. Its totient is φ = 2595840.

The previous prime is 7998307. The next prime is 7998337. The reversal of 7998336 is 6338997.

It is a happy number.

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

It is an Ulam number.

Its product of digits (244944) is a multiple of the sum of its prime divisors (189).

It is a junction number, because it is equal to n+sod(n) for n = 7998291 and 7998300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7998337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60991 + ... + 61121.

Almost surely, 27998336 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 7998336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814660).

7998336 is an abundant number, since it is smaller than the sum of its proper divisors (15630984).

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

7998336 is a wasteful number, since it uses less digits than its factorization.

7998336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 189 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 7998336 is about 2828.1329530275. The cubic root of 7998336 is about 199.9861323718.

The spelling of 7998336 in words is "seven million, nine hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 131 144 159 192 212 262 288 318 384 393 424 477 524 576 636 786 848 954 1048 1152 1179 1272 1572 1696 1908 2096 2358 2544 3144 3392 3816 4192 4716 5088 6288 6784 6943 7632 8384 9432 10176 12576 13886 15264 16768 18864 20352 20829 25152 27772 30528 37728 41658 50304 55544 61056 62487 75456 83316 111088 124974 150912 166632 222176 249948 333264 444352 499896 666528 888704 999792 1333056 1999584 2666112 3999168 7998336