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3493479552 = 27318150263
BaseRepresentation
bin1101000000111010…
…0100010010000000
3100000110121011000120
43100032210102000
524123312321202
61334353220240
7152400041403
oct32016442200
910013534016
103493479552
111532a83992
12815b61680
134389c5784
14251d81d3a
15156a700bc
hexd03a4480

3493479552 has 64 divisors (see below), whose sum is σ = 9331008960. Its totient is φ = 1158036480.

The previous prime is 3493479547. The next prime is 3493479553. The reversal of 3493479552 is 2559743943.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3493479495 and 3493479504.

It is not an unprimeable number, because it can be changed into a prime (3493479553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44373 + ... + 94635.

It is an arithmetic number, because the mean of its divisors is an integer number (145797015).

Almost surely, 23493479552 is an apocalyptic number.

3493479552 is a gapful number since it is divisible by the number (32) 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 3493479552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665504480).

3493479552 is an abundant number, since it is smaller than the sum of its proper divisors (5837529408).

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

3493479552 is a wasteful number, since it uses less digits than its factorization.

3493479552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50461 (or 50449 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 51.

The square root of 3493479552 is about 59105.6642970875. The cubic root of 3493479552 is about 1517.3510464672.

The spelling of 3493479552 in words is "three billion, four hundred ninety-three million, four hundred seventy-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 362 384 543 724 1086 1448 2172 2896 4344 5792 8688 11584 17376 23168 34752 50263 69504 100526 150789 201052 301578 402104 603156 804208 1206312 1608416 2412624 3216832 4825248 6433664 9097603 9650496 18195206 19300992 27292809 36390412 54585618 72780824 109171236 145561648 218342472 291123296 436684944 582246592 873369888 1164493184 1746739776 3493479552