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147463764 = 223723127601
BaseRepresentation
bin10001100101000…
…01111001010100
3101021110221020220
420302201321110
5300222320024
622344354340
73440264340
oct1062417124
9337427226
10147463764
117626a788
12414759b0
1324721686
1415828620
15ce2ce79
hex8ca1e54

147463764 has 96 divisors (see below), whose sum is σ = 414253056. Its totient is φ = 39916800.

The previous prime is 147463739. The next prime is 147463781. The reversal of 147463764 is 467364741.

147463764 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245064 + ... + 245664.

It is an arithmetic number, because the mean of its divisors is an integer number (4315136).

Almost surely, 2147463764 is an apocalyptic number.

147463764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 147463764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207126528).

147463764 is an abundant number, since it is smaller than the sum of its proper divisors (266789292).

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

147463764 is a wasteful number, since it uses less digits than its factorization.

147463764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 147463764 is about 12143.4658973458. The cubic root of 147463764 is about 528.3176319995.

The spelling of 147463764 in words is "one hundred forty-seven million, four hundred sixty-three thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 127 138 161 254 276 322 381 483 508 601 644 762 889 966 1202 1524 1778 1803 1932 2404 2667 2921 3556 3606 4207 5334 5842 7212 8414 8763 10668 11684 12621 13823 16828 17526 20447 25242 27646 35052 40894 41469 50484 55292 61341 76327 81788 82938 96761 122682 152654 165876 193522 228981 245364 290283 305308 387044 457962 534289 580566 915924 1068578 1161132 1602867 1755521 2137156 3205734 3511042 5266563 6411468 7022084 10533126 12288647 21066252 24577294 36865941 49154588 73731882 147463764