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147949056 = 293297331
BaseRepresentation
bin10001101000110…
…00011000000000
3101022101120221200
420310120120000
5300333332211
622403021200
73444355233
oct1064303000
9338346850
10147949056
1176571352
124166a800
1324861528
141591341a
15cec6b56
hex8d18600

147949056 has 120 divisors (see below), whose sum is σ = 432696264. Its totient is φ = 48660480.

The previous prime is 147949003. The next prime is 147949057. The reversal of 147949056 is 650949741.

147949056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1479490562 = 43777846342582272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147949057) 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, 446811 + ... + 447141.

Almost surely, 2147949056 is an apocalyptic number.

147949056 is a gapful number since it is divisible by the number (16) 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 147949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216348132).

147949056 is an abundant number, since it is smaller than the sum of its proper divisors (284747208).

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

147949056 is an equidigital number, since it uses as much as digits as its factorization.

147949056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 147949056 is about 12163.4310948844. The cubic root of 147949056 is about 528.8965484170.

The spelling of 147949056 in words is "one hundred forty-seven million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 331 384 388 512 576 582 662 768 776 873 993 1152 1164 1324 1536 1552 1746 1986 2304 2328 2648 2979 3104 3492 3972 4608 4656 5296 5958 6208 6984 7944 9312 10592 11916 12416 13968 15888 18624 21184 23832 24832 27936 31776 32107 37248 42368 47664 49664 55872 63552 64214 74496 84736 95328 96321 111744 127104 128428 148992 169472 190656 192642 223488 254208 256856 288963 381312 385284 446976 508416 513712 577926 762624 770568 1027424 1155852 1525248 1541136 2054848 2311704 3082272 4109696 4623408 6164544 8219392 9246816 12329088 16438784 18493632 24658176 36987264 49316352 73974528 147949056