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80303616 = 293337157
BaseRepresentation
bin1001100100101…
…01011000000000
312121002211212000
410302111120000
5131024203431
611545104000
71663366221
oct462253000
9177084760
1080303616
1141369328
1222a88000
1313838643
14a945248
1570b39e6
hex4c95600

80303616 has 160 divisors (see below), whose sum is σ = 245683680. Its totient is φ = 25878528.

The previous prime is 80303611. The next prime is 80303623. The reversal of 80303616 is 61630308.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 80303616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80303611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511410 + ... + 511566.

It is an arithmetic number, because the mean of its divisors is an integer number (1535523).

Almost surely, 280303616 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 80303616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122841840).

80303616 is an abundant number, since it is smaller than the sum of its proper divisors (165380064).

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

80303616 is a wasteful number, since it uses less digits than its factorization.

80303616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 80303616 is about 8961.2284872109. The cubic root of 80303616 is about 431.4313505703.

The spelling of 80303616 in words is "eighty million, three hundred three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 157 192 216 222 256 288 296 314 333 384 432 444 471 512 576 592 628 666 768 864 888 942 999 1152 1184 1256 1332 1413 1536 1728 1776 1884 1998 2304 2368 2512 2664 2826 3456 3552 3768 3996 4239 4608 4736 5024 5328 5652 5809 6912 7104 7536 7992 8478 9472 10048 10656 11304 11618 13824 14208 15072 15984 16956 17427 18944 20096 21312 22608 23236 28416 30144 31968 33912 34854 40192 42624 45216 46472 52281 56832 60288 63936 67824 69708 80384 85248 90432 92944 104562 120576 127872 135648 139416 156843 170496 180864 185888 209124 241152 255744 271296 278832 313686 361728 371776 418248 511488 542592 557664 627372 723456 743552 836496 1085184 1115328 1254744 1487104 1672992 2170368 2230656 2509488 2974208 3345984 4461312 5018976 6691968 8922624 10037952 13383936 20075904 26767872 40151808 80303616