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84300048 = 2433761457
BaseRepresentation
bin1010000011001…
…01000100010000
312212121212221000
411001211010100
5133040100143
612210502000
72042352510
oct501450420
9185555830
1084300048
1143648968
1224294900
13146076b1
14b2a5840
157602bd3
hex5065110

84300048 has 160 divisors (see below), whose sum is σ = 281688320. Its totient is φ = 23639040.

The previous prime is 84300019. The next prime is 84300049. The reversal of 84300048 is 84000348.

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

It is a junction number, because it is equal to n+sod(n) for n = 84299994 and 84300030.

It is not an unprimeable number, because it can be changed into a prime (84300049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184236 + ... + 184692.

It is an arithmetic number, because the mean of its divisors is an integer number (1760552).

Almost surely, 284300048 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 84300048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140844160).

84300048 is an abundant number, since it is smaller than the sum of its proper divisors (197388272).

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

84300048 is a wasteful number, since it uses less digits than its factorization.

84300048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84300048 is about 9181.5057588611. The cubic root of 84300048 is about 438.4727490848.

The spelling of 84300048 in words is "eighty-four million, three hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 84 108 112 122 126 144 168 183 189 216 244 252 336 366 378 427 432 457 488 504 549 732 756 854 914 976 1008 1098 1281 1371 1464 1512 1647 1708 1828 2196 2562 2742 2928 3024 3199 3294 3416 3656 3843 4113 4392 5124 5484 6398 6588 6832 7312 7686 8226 8784 9597 10248 10968 11529 12339 12796 13176 15372 16452 19194 20496 21936 23058 24678 25592 26352 27877 28791 30744 32904 38388 46116 49356 51184 55754 57582 61488 65808 76776 83631 86373 92232 98712 111508 115164 153552 167262 172746 184464 195139 197424 223016 230328 250893 334524 345492 390278 446032 460656 501786 585417 669048 690984 752679 780556 1003572 1170834 1338096 1381968 1505358 1561112 1756251 2007144 2341668 3010716 3122224 3512502 4014288 4683336 5268753 6021432 7025004 9366672 10537506 12042864 14050008 21075012 28100016 42150024 84300048