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3125525200 = 245272348533
BaseRepresentation
bin1011101001001011…
…1011101011010000
322001211020010112121
42322102323223100
522400113301300
61234050504024
7140311345240
oct27222735320
98054203477
103125525200
111364306386
12732895014
133aa6c42c5
1421915db20
151345db81a
hexba4bbad0

3125525200 has 120 divisors (see below), whose sum is σ = 8955105408. Its totient is φ = 1024995840.

The previous prime is 3125525197. The next prime is 3125525209. The reversal of 3125525200 is 25255213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3125525209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40134 + ... + 88666.

Almost surely, 23125525200 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 3125525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477552704).

3125525200 is an abundant number, since it is smaller than the sum of its proper divisors (5829580208).

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

3125525200 is a wasteful number, since it uses less digits than its factorization.

3125525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48581 (or 48570 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 3125525200 is about 55906.3967717470. The cubic root of 3125525200 is about 1462.0907682047.

The spelling of 3125525200 in words is "three billion, one hundred twenty-five million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 35 40 46 50 56 70 80 92 100 112 115 140 161 175 184 200 230 280 322 350 368 400 460 560 575 644 700 805 920 1150 1288 1400 1610 1840 2300 2576 2800 3220 4025 4600 6440 8050 9200 12880 16100 32200 48533 64400 97066 194132 242665 339731 388264 485330 679462 776528 970660 1116259 1213325 1358924 1698655 1941320 2232518 2426650 2717848 3397310 3882640 4465036 4853300 5435696 5581295 6794620 7813813 8493275 8930072 9706600 11162590 13589240 15627626 16986550 17860144 19413200 22325180 27178480 27906475 31255252 33973100 39069065 44650360 55812950 62510504 67946200 78138130 89300720 111625900 125021008 135892400 156276260 195345325 223251800 312552520 390690650 446503600 625105040 781381300 1562762600 3125525200