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78147828 = 2235117309
BaseRepresentation
bin1001010100001…
…11000011110100
312110001022200000
410222013003310
5130001212303
611430551300
71636150143
oct452070364
9173038600
1078147828
1140126690
1222208530
1313262325
14a54375a
156cd9da3
hex4a870f4

78147828 has 72 divisors (see below), whose sum is σ = 223510560. Its totient is φ = 23677920.

The previous prime is 78147821. The next prime is 78147833. The reversal of 78147828 is 82874187.

It is a super-2 number, since 2×781478282 = 12214166042235168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78147821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7038 + ... + 14346.

Almost surely, 278147828 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 78147828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111755280).

78147828 is an abundant number, since it is smaller than the sum of its proper divisors (145362732).

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

78147828 is a wasteful number, since it uses less digits than its factorization.

78147828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7339 (or 7325 counting only the distinct ones).

The product of its digits is 200704, while the sum is 45.

The square root of 78147828 is about 8840.1260172013. The cubic root of 78147828 is about 427.5356203006.

The spelling of 78147828 in words is "seventy-eight million, one hundred forty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 7309 10692 14618 21927 29236 43854 65781 80399 87708 131562 160798 197343 241197 263124 321596 394686 482394 592029 723591 789372 964788 1184058 1447182 1776087 2170773 2368116 2894364 3552174 4341546 6512319 7104348 8683092 13024638 19536957 26049276 39073914 78147828