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5742002176 = 222372
BaseRepresentation
bin1010101100100000…
…00000000000000000
3112211011120221012021
411112100000000000
543224423032201
62345435011224
7262202133061
oct52620000000
915734527167
105742002176
112487235249
121142b99b14
137067b5c31
143c6850568
15239173ea1
hex156400000

5742002176 has 69 divisors (see below), whose sum is σ = 11802770049. Its totient is φ = 2793406464.

The previous prime is 5742002137. The next prime is 5742002183. The reversal of 5742002176 is 6712002475.

The square root of 5742002176 is 75776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5138022400 + 603979776 = 71680^2 + 24576^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 155189230 + ... + 155189266.

Almost surely, 25742002176 is an apocalyptic number.

5742002176 is the 75776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5742002176

5742002176 is an abundant number, since it is smaller than the sum of its proper divisors (6060767873).

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

5742002176 is an frugal number, since it uses more digits than its factorization.

5742002176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The cubic root of 5742002176 is about 1790.6929244086.

The spelling of 5742002176 in words is "five billion, seven hundred forty-two million, two thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 1369 2048 2368 2738 4096 4736 5476 8192 9472 10952 16384 18944 21904 32768 37888 43808 65536 75776 87616 131072 151552 175232 262144 303104 350464 524288 606208 700928 1048576 1212416 1401856 2097152 2424832 2803712 4194304 4849664 5607424 9699328 11214848 19398656 22429696 38797312 44859392 77594624 89718784 155189248 179437568 358875136 717750272 1435500544 2871001088 5742002176